33957 has 24 divisors (see below), whose sum is σ = 62400. Its totient is φ = 17640.

The previous prime is 33941. The next prime is 33961. The reversal of 33957 is 75933.

It is not a de Polignac number, because 33957 - 2⁴ = 33941 is a prime.

It is a d-powerful number, because it can be written as 3⁷ + 3⁹ + 9⁴ + 5⁵ + 7⁴ .

Its product of digits (2835) is a multiple of the sum of its prime divisors (21).

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 33957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3082 + ... + 3092.

It is an arithmetic number, because the mean of its divisors is an integer number (2600).

2³³⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

33957 is a deficient number, since it is larger than the sum of its proper divisors (28443).

33957 is a wasteful number, since it uses less digits than its factorization.

33957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 21 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 33957 is about 184.2742521352. The cubic root of 33957 is about 32.3824550643.

Subtracting from 33957 its sum of digits (27), we obtain a triangular number (33930 = T₂₆₀).

It can be divided in two parts, 33 and 957, that added together give a triangular number (990 = T₄₄).

The spelling of 33957 in words is "thirty-three thousand, nine hundred fifty-seven".