33958 has 4 divisors (see below), whose sum is σ = 50940. Its totient is φ = 16978.

The previous prime is 33941. The next prime is 33961. The reversal of 33958 is 85933.

It is a happy number.

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

It is a plaindrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8488 + ... + 8491.

It is an arithmetic number, because the mean of its divisors is an integer number (12735).

2³³⁹⁵⁸ is an apocalyptic number.

33958 is the 99-th centered heptagonal number.

33958 is a deficient number, since it is larger than the sum of its proper divisors (16982).

33958 is a wasteful number, since it uses less digits than its factorization.

33958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16981.

The product of its digits is 3240, while the sum is 28.

The square root of 33958 is about 184.2769654623. The cubic root of 33958 is about 32.3827729382.

Subtracting from 33958 its sum of digits (28), we obtain a triangular number (33930 = T₂₆₀).

It can be divided in two parts, 3395 and 8, that added together give a triangular number (3403 = T₈₂).

The spelling of 33958 in words is "thirty-three thousand, nine hundred fifty-eight".