825540 has 24 divisors (see below), whose sum is σ = 2311680. Its totient is φ = 220128.

The previous prime is 825533. The next prime is 825547. The reversal of 825540 is 45528.

825540 = T₁₁₄ + T₁₁₅ + ... + T₁₈₅.

It is an interprime number because it is at equal distance from previous prime (825533) and next prime (825547).

It is a self number, because there is not a number n which added to its sum of digits gives 825540.

It is not an unprimeable number, because it can be changed into a prime (825547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6820 + ... + 6939.

It is an arithmetic number, because the mean of its divisors is an integer number (96320).

2⁸²⁵⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

825540 is an abundant number, since it is smaller than the sum of its proper divisors (1486140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825540 is a wasteful number, since it uses less digits than its factorization.

825540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13771 (or 13769 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 825540 is about 908.5923178192. The cubic root of 825540 is about 93.8093313321.

The spelling of 825540 in words is "eight hundred twenty-five thousand, five hundred forty".