33712968 has 32 divisors (see below), whose sum is σ = 84427200. Its totient is φ = 11218368.

The previous prime is 33712967. The next prime is 33712969. The reversal of 33712968 is 86921733.

It is an interprime number because it is at equal distance from previous prime (33712967) and next prime (33712969).

It is a super-2 number, since 2×33712968² = 2273128422738048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33712961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22878 + ... + 24306.

It is an arithmetic number, because the mean of its divisors is an integer number (2638350).

Almost surely, 2^33712968 is an apocalyptic number.

It is an amenable number.

33712968 is an abundant number, since it is smaller than the sum of its proper divisors (50714232).

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

33712968 is a wasteful number, since it uses less digits than its factorization.

33712968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2417 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 33712968 is about 5806.2869374498. The cubic root of 33712968 is about 323.0469631733.

The spelling of 33712968 in words is "thirty-three million, seven hundred twelve thousand, nine hundred sixty-eight".