5670 has 40 divisors (see below), whose sum is σ = 17424. Its totient is φ = 1296.

The previous prime is 5669. The next prime is 5683. The reversal of 5670 is 765.

5670 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 12.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 807 + ... + 813.

2^{5670} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8712).

5670 is an abundant number, since it is smaller than the sum of its proper divisors (11754).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5670 is a wasteful number, since it uses less digits than its factorization.

5670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 5670 is about 75.2994023881. The cubic root of 5670 is about 17.8317658583.

Subtracting from 5670 its product of nonzero digits (210), we obtain a triangular number (5460 = T_{104}).

5670 divided by its product of nonzero digits (210) gives a cube (27 = 3^{3}).

The spelling of 5670 in words is "five thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 5670

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