82725965 has 36 divisors (see below), whose sum is σ = 118680156. Its totient is φ = 55190016.

The previous prime is 82725959. The next prime is 82725967. The reversal of 82725965 is 56952728.

It can be written as a sum of positive squares in 2 ways, for example, as 33431524 + 49294441 = 5782^2 + 7021^2 .

It is a de Polignac number, because none of the positive numbers 2^k-82725965 is a prime.

Its product of digits (302400) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82725967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 852797 + ... + 852893.

It is an arithmetic number, because the mean of its divisors is an integer number (3296671).

Almost surely, 2^82725965 is an apocalyptic number.

It is an amenable number.

82725965 is a deficient number, since it is larger than the sum of its proper divisors (35954191).

82725965 is an equidigital number, since it uses as much as digits as its factorization.

82725965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 168 counting only the distinct ones).

The product of its digits is 302400, while the sum is 44.

The square root of 82725965 is about 9095.3815203102. The cubic root of 82725965 is about 435.7264735716.

The spelling of 82725965 in words is "eighty-two million, seven hundred twenty-five thousand, nine hundred sixty-five".