825325 has 6 divisors (see below), whose sum is σ = 1023434. Its totient is φ = 660240.

The previous prime is 825301. The next prime is 825329. The reversal of 825325 is 523528.

It can be written as a sum of positive squares in 3 ways, for example, as 4489 + 820836 = 67^2 + 906^2 .

It is a de Polignac number, because none of the positive numbers 2^k-825325 is a prime.

It is a super-2 number, since 2×825325² = 1362322711250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 33013 = 825325 / (8 + 2 + 5 + 3 + 2 + 5).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 825325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825329) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 16482 + ... + 16531.

2⁸²⁵³²⁵ is an apocalyptic number.

It is an amenable number.

825325 is a deficient number, since it is larger than the sum of its proper divisors (198109).

825325 is a wasteful number, since it uses less digits than its factorization.

825325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33023 (or 33018 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 825325 is about 908.4739952250. The cubic root of 825325 is about 93.8011868621.

The spelling of 825325 in words is "eight hundred twenty-five thousand, three hundred twenty-five".