33970 has 16 divisors (see below), whose sum is σ = 63360. Its totient is φ = 13104.

The previous prime is 33967. The next prime is 33997. The reversal of 33970 is 7933.

33970 = T₄₈ + T₄₉ + ... + T₆₇.

It is a plaindrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (3960).

2³³⁹⁷⁰ is an apocalyptic number.

33970 is a deficient number, since it is larger than the sum of its proper divisors (29390).

33970 is a wasteful number, since it uses less digits than its factorization.

33970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129.

The product of its (nonzero) digits is 567, while the sum is 22.

The square root of 33970 is about 184.3095222716. The cubic root of 33970 is about 32.3865869390.

The spelling of 33970 in words is "thirty-three thousand, nine hundred seventy".