827972 has 6 divisors (see below), whose sum is σ = 1448958. Its totient is φ = 413984.

The previous prime is 827969. The next prime is 827987. The reversal of 827972 is 279728.

It can be written as a sum of positive squares in only one way, i.e., 678976 + 148996 = 824^2 + 386^2 .

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 103493 + ... + 103500.

It is an arithmetic number, because the mean of its divisors is an integer number (241493).

2⁸²⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

827972 is a deficient number, since it is larger than the sum of its proper divisors (620986).

827972 is a wasteful number, since it uses less digits than its factorization.

827972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206997 (or 206995 counting only the distinct ones).

The product of its digits is 14112, while the sum is 35.

The square root of 827972 is about 909.9296676117. The cubic root of 827972 is about 93.9013602367.

The spelling of 827972 in words is "eight hundred twenty-seven thousand, nine hundred seventy-two".