827572 has 12 divisors (see below), whose sum is σ = 1455076. Its totient is φ = 411840.

The previous prime is 827549. The next prime is 827581. The reversal of 827572 is 275728.

It can be written as a sum of positive squares in 2 ways, for example, as 256036 + 571536 = 506^2 + 756^2 .

It is a congruent number.

It is an unprimeable number.

827572 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 3 ways as a sum of consecutive naturals, for example, 922 + ... + 1582.

2⁸²⁷⁵⁷² is an apocalyptic number.

It is an amenable number.

827572 is a deficient number, since it is larger than the sum of its proper divisors (627504).

827572 is a wasteful number, since it uses less digits than its factorization.

827572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 976 counting only the distinct ones).

The product of its digits is 7840, while the sum is 31.

The square root of 827572 is about 909.7098438513. The cubic root of 827572 is about 93.8862362976.

Subtracting from 827572 its sum of digits (31), we obtain a triangular number (827541 = T₁₂₈₆).

The spelling of 827572 in words is "eight hundred twenty-seven thousand, five hundred seventy-two".