3334 has 4 divisors (see below), whose sum is σ = 5004. Its totient is φ = 1666.

The previous prime is 3331. The next prime is 3343. The reversal of 3334 is 4333.

3334 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 4333 = 7 ⋅619.

It is a super-2 number, since 2×3334^{2} = 22231112, which contains 22 as substring.

It is a magnanimous number.

It is a plaindrome in base 10.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 832 + ... + 835.

It is an arithmetic number, because the mean of its divisors is an integer number (1251).

2^{3334} is an apocalyptic number.

3334 is a deficient number, since it is larger than the sum of its proper divisors (1670).

3334 is a wasteful number, since it uses less digits than its factorization.

3334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669.

The product of its digits is 108, while the sum is 13.

The square root of 3334 is about 57.7408001330. The cubic root of 3334 is about 14.9390116232.

Subtracting from 3334 its sum of digits (13), we obtain a triangular number (3321 = T_{81}).

Adding to 3334 its reverse (4333), we get a palindrome (7667).

Subtracting 3334 from its reverse (4333), we obtain a palindrome (999).

The spelling of 3334 in words is "three thousand, three hundred thirty-four".

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