827924 has 12 divisors (see below), whose sum is σ = 1456224. Its totient is φ = 411864.

The previous prime is 827923. The next prime is 827927. The reversal of 827924 is 429728.

It is a d-powerful number, because it can be written as 8⁴ + 2⁴ + 9 + 7⁷ + 2⁸ + 4 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827923) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 659 + ... + 1445.

It is an arithmetic number, because the mean of its divisors is an integer number (121352).

2⁸²⁷⁹²⁴ is an apocalyptic number.

It is an amenable number.

827924 is a deficient number, since it is larger than the sum of its proper divisors (628300).

827924 is a wasteful number, since it uses less digits than its factorization.

827924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1052 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 827924 is about 909.9032915645. The cubic root of 827924 is about 93.8995456213.

The spelling of 827924 in words is "eight hundred twenty-seven thousand, nine hundred twenty-four".