33013972 has 24 divisors (see below), whose sum is σ = 58758336. Its totient is φ = 16228608.

The previous prime is 33013969. The next prime is 33013973. The reversal of 33013972 is 27931033.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 33013972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33013973) 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, 93348 + ... + 93700.

It is an arithmetic number, because the mean of its divisors is an integer number (2448264).

Almost surely, 2^33013972 is an apocalyptic number.

It is an amenable number.

33013972 is a deficient number, since it is larger than the sum of its proper divisors (25744364).

33013972 is a wasteful number, since it uses less digits than its factorization.

33013972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 28.

The square root of 33013972 is about 5745.7786243467. The cubic root of 33013972 is about 320.7986949655.

The spelling of 33013972 in words is "thirty-three million, thirteen thousand, nine hundred seventy-two".