636972 has 24 divisors (see below), whose sum is σ = 1698816. Its totient is φ = 181968.

The previous prime is 636967. The next prime is 636983. The reversal of 636972 is 279636.

It is an unprimeable number.

636972 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, 3708 + ... + 3875.

It is an arithmetic number, because the mean of its divisors is an integer number (70784).

2⁶³⁶⁹⁷² is an apocalyptic number.

It is an amenable number.

636972 is an abundant number, since it is smaller than the sum of its proper divisors (1061844).

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

636972 is a wasteful number, since it uses less digits than its factorization.

636972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7597 (or 7595 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 636972 is about 798.1052562162. The cubic root of 636972 is about 86.0412637747.

It can be divided in two parts, 6369 and 72, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 636972 in words is "six hundred thirty-six thousand, nine hundred seventy-two".