892825 has 12 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 702800.

The previous prime is 892817. The next prime is 892841. The reversal of 892825 is 528298.

It is not a de Polignac number, because 892825 - 2³ = 892817 is a prime.

It is a Duffinian number.

892825 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1524 + ... + 2026.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

2⁸⁹²⁸²⁵ is an apocalyptic number.

It is an amenable number.

892825 is a deficient number, since it is larger than the sum of its proper divisors (232103).

892825 is a wasteful number, since it uses less digits than its factorization.

892825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 579 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 892825 is about 944.8941739687. The cubic root of 892825 is about 96.2916837498.

The spelling of 892825 in words is "eight hundred ninety-two thousand, eight hundred twenty-five".