825517 has 16 divisors (see below), whose sum is σ = 1050624. Its totient is φ = 630000.

The previous prime is 825509. The next prime is 825527. The reversal of 825517 is 715528.

825517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825517 - 2³ = 825509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5392 + ... + 5542.

It is an arithmetic number, because the mean of its divisors is an integer number (65664).

2⁸²⁵⁵¹⁷ is an apocalyptic number.

It is an amenable number.

825517 is a deficient number, since it is larger than the sum of its proper divisors (225107).

825517 is a wasteful number, since it uses less digits than its factorization.

825517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240.

The product of its digits is 2800, while the sum is 28.

The square root of 825517 is about 908.5796607893. The cubic root of 825517 is about 93.8084601308.

The spelling of 825517 in words is "eight hundred twenty-five thousand, five hundred seventeen".