892225 has 12 divisors (see below), whose sum is σ = 1121580. Its totient is φ = 704000.

The previous prime is 892219. The next prime is 892237. The reversal of 892225 is 522298.

892225 = 40³ + 41³ + ... + 49³.

892225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1089 + 891136 = 33^2 + 944^2 .

It is not a de Polignac number, because 892225 - 2⁷ = 892097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 892193 and 892202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2025 + ... + 2425.

It is an arithmetic number, because the mean of its divisors is an integer number (93465).

2⁸⁹²²²⁵ is an apocalyptic number.

It is an amenable number.

892225 is a deficient number, since it is larger than the sum of its proper divisors (229355).

892225 is a wasteful number, since it uses less digits than its factorization.

892225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 495 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 892225 is about 944.5766247372. The cubic root of 892225 is about 96.2701088024.

It can be divided in two parts, 89 and 2225, that multiplied together give a square (198025 = 445²).

The spelling of 892225 in words is "eight hundred ninety-two thousand, two hundred twenty-five".