825507 has 18 divisors (see below), whose sum is σ = 1243788. Its totient is φ = 527472.

The previous prime is 825491. The next prime is 825509. The reversal of 825507 is 705528.

It is a happy number.

It is not a de Polignac number, because 825507 - 2⁴ = 825491 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825509) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12288 + ... + 12354.

2⁸²⁵⁵⁰⁷ is an apocalyptic number.

825507 is a deficient number, since it is larger than the sum of its proper divisors (418281).

825507 is a wasteful number, since it uses less digits than its factorization.

825507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 825507 is about 908.5741576778. The cubic root of 825507 is about 93.8080813425.

The spelling of 825507 in words is "eight hundred twenty-five thousand, five hundred seven".