825980 has 12 divisors (see below), whose sum is σ = 1734600. Its totient is φ = 330384.

The previous prime is 825971. The next prime is 825983. The reversal of 825980 is 89528.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825983) 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 3 ways as a sum of consecutive naturals, for example, 20630 + ... + 20669.

It is an arithmetic number, because the mean of its divisors is an integer number (144550).

2⁸²⁵⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

825980 is an abundant number, since it is smaller than the sum of its proper divisors (908620).

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

825980 is a wasteful number, since it uses less digits than its factorization.

825980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41308 (or 41306 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 825980 is about 908.8344183623. The cubic root of 825980 is about 93.8259946776.

The spelling of 825980 in words is "eight hundred twenty-five thousand, nine hundred eighty".