33156 has 24 divisors (see below), whose sum is σ = 86240. Its totient is φ = 11016.

The previous prime is 33151. The next prime is 33161. The reversal of 33156 is 65133.

It is an interprime number because it is at equal distance from previous prime (33151) and next prime (33161).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (33151) by changing a digit.

33156 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46 + ... + 261.

2³³¹⁵⁶ is an apocalyptic number.

33156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33156 is an abundant number, since it is smaller than the sum of its proper divisors (53084).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43120).

33156 is a wasteful number, since it uses less digits than its factorization.

33156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 33156 is about 182.0878908659. The cubic root of 33156 is about 32.1258068302.

Adding to 33156 its reverse (65133), we get a palindrome (98289).

It can be divided in two parts, 3315 and 6, that added together give a triangular number (3321 = T₈₁).

The spelling of 33156 in words is "thirty-three thousand, one hundred fifty-six".