823972 has 6 divisors (see below), whose sum is σ = 1441958. Its totient is φ = 411984.

The previous prime is 823969. The next prime is 823981. The reversal of 823972 is 279328.

It can be written as a sum of positive squares in only one way, i.e., 820836 + 3136 = 906^2 + 56^2 .

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102993 + ... + 103000.

2⁸²³⁹⁷² is an apocalyptic number.

It is an amenable number.

823972 is a deficient number, since it is larger than the sum of its proper divisors (617986).

823972 is a wasteful number, since it uses less digits than its factorization.

823972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205997 (or 205995 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 823972 is about 907.7290344591. The cubic root of 823972 is about 93.7499010369.

Subtracting from 823972 its reverse (279328), we obtain a square (544644 = 738²).

The spelling of 823972 in words is "eight hundred twenty-three thousand, nine hundred seventy-two".