33997152 has 48 divisors (see below), whose sum is σ = 101993472. Its totient is φ = 9713280.

The previous prime is 33997129. The next prime is 33997163. The reversal of 33997152 is 25179933.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33997152² = 2311612688222208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33997152.

It is a congruent number.

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, 24624 + ... + 25967.

It is an arithmetic number, because the mean of its divisors is an integer number (2124864).

Almost surely, 2^33997152 is an apocalyptic number.

33997152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33997152 is an abundant number, since it is smaller than the sum of its proper divisors (67996320).

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

33997152 is a wasteful number, since it uses less digits than its factorization.

33997152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50611 (or 50603 counting only the distinct ones).

The product of its digits is 51030, while the sum is 39.

The square root of 33997152 is about 5830.7076757457. The cubic root of 33997152 is about 323.9521343708.

The spelling of 33997152 in words is "thirty-three million, nine hundred ninety-seven thousand, one hundred fifty-two".