837225 has 27 divisors (see below), whose sum is σ = 1524549. Its totient is φ = 439200.

The previous prime is 837203. The next prime is 837257. The reversal of 837225 is 522738.

The square root of 837225 is 915.

It is a perfect power (a square), and thus also a powerful number.

837225 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 4 ways, for example, as 385641 + 451584 = 621^2 + 672^2 .

It is not a de Polignac number, because 837225 - 2⁹ = 836713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13695 + ... + 13755.

837225 is a Friedman number, since it can be written as (3+57*8*2)^2, using all its digits and the basic arithmetic operations.

2⁸³⁷²²⁵ is an apocalyptic number.

837225 is the 915-th square number.

837225 is the 458-th centered octagonal number.

It is an amenable number.

837225 is a deficient number, since it is larger than the sum of its proper divisors (687324).

837225 is a wasteful number, since it uses less digits than its factorization.

837225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 69 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The cubic root of 837225 is about 94.2498633868.

The spelling of 837225 in words is "eight hundred thirty-seven thousand, two hundred twenty-five".