633972 has 24 divisors (see below), whose sum is σ = 1544256. Its totient is φ = 202048.

The previous prime is 633967. The next prime is 633991. The reversal of 633972 is 279336.

It is a happy number.

633972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

633972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 873 + ... + 1424.

It is an arithmetic number, because the mean of its divisors is an integer number (64344).

2⁶³³⁹⁷² is an apocalyptic number.

It is an amenable number.

633972 is an abundant number, since it is smaller than the sum of its proper divisors (910284).

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

633972 is a wasteful number, since it uses less digits than its factorization.

633972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2325 counting only the distinct ones).

The product of its digits is 6804, while the sum is 30.

The square root of 633972 is about 796.2235866891. The cubic root of 633972 is about 85.9059725894.

The spelling of 633972 in words is "six hundred thirty-three thousand, nine hundred seventy-two".