825237 has 12 divisors (see below), whose sum is σ = 1362400. Its totient is φ = 471528.

The previous prime is 825229. The next prime is 825241. The reversal of 825237 is 732528.

It is not a de Polignac number, because 825237 - 2³ = 825229 is a prime.

It is a super-2 number, since 2×825237² = 1362032212338, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 825237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6487 + ... + 6612.

2⁸²⁵²³⁷ is an apocalyptic number.

It is an amenable number.

825237 is a deficient number, since it is larger than the sum of its proper divisors (537163).

825237 is a wasteful number, since it uses less digits than its factorization.

825237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13112 (or 13109 counting only the distinct ones).

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

The square root of 825237 is about 908.4255610671. The cubic root of 825237 is about 93.7978529036.

The spelling of 825237 in words is "eight hundred twenty-five thousand, two hundred thirty-seven".