83760825 has 48 divisors (see below), whose sum is σ = 147133440. Its totient is φ = 41954880.

The previous prime is 83760821. The next prime is 83760839. The reversal of 83760825 is 52806738.

It is not a de Polignac number, because 83760825 - 2² = 83760821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83760821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101364 + ... + 102186.

It is an arithmetic number, because the mean of its divisors is an integer number (3065280).

Almost surely, 2^83760825 is an apocalyptic number.

It is an amenable number.

83760825 is a deficient number, since it is larger than the sum of its proper divisors (63372615).

83760825 is a wasteful number, since it uses less digits than its factorization.

83760825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 83760825 is about 9152.0940226814. The cubic root of 83760825 is about 437.5358555648.

The spelling of 83760825 in words is "eighty-three million, seven hundred sixty thousand, eight hundred twenty-five".