33955 has 4 divisors (see below), whose sum is σ = 40752. Its totient is φ = 27160.

The previous prime is 33941. The next prime is 33961. The reversal of 33955 is 55933.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 33955 - 2⁵ = 33923 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11 and base 13.

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3391 + ... + 3400.

It is an arithmetic number, because the mean of its divisors is an integer number (10188).

2³³⁹⁵⁵ is an apocalyptic number.

33955 is a deficient number, since it is larger than the sum of its proper divisors (6797).

33955 is an equidigital number, since it uses as much as digits as its factorization.

33955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6796.

The product of its digits is 2025, while the sum is 25.

The square root of 33955 is about 184.2688253612. The cubic root of 33955 is about 32.3818192977.

Subtracting from 33955 its sum of digits (25), we obtain a triangular number (33930 = T₂₆₀).

The spelling of 33955 in words is "thirty-three thousand, nine hundred fifty-five".