892256 has 12 divisors (see below), whose sum is σ = 1756692. Its totient is φ = 446112.

The previous prime is 892253. The next prime is 892261. The reversal of 892256 is 652298.

892256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×892256² = 1592241539072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 27883 = 892256 / (8 + 9 + 2 + 2 + 5 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (892253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13910 + ... + 13973.

It is an arithmetic number, because the mean of its divisors is an integer number (146391).

2⁸⁹²²⁵⁶ is an apocalyptic number.

It is an amenable number.

892256 is a deficient number, since it is larger than the sum of its proper divisors (864436).

892256 is a wasteful number, since it uses less digits than its factorization.

892256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27893 (or 27885 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 892256 is about 944.5930340628. The cubic root of 892256 is about 96.2712237449.

The spelling of 892256 in words is "eight hundred ninety-two thousand, two hundred fifty-six".