82516632 has 32 divisors (see below), whose sum is σ = 225046080. Its totient is φ = 25004960.

The previous prime is 82516619. The next prime is 82516649. The reversal of 82516632 is 23661528.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 82516593 and 82516602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156018 + ... + 156545.

It is an arithmetic number, because the mean of its divisors is an integer number (7032690).

Almost surely, 2^82516632 is an apocalyptic number.

It is an amenable number.

82516632 is an abundant number, since it is smaller than the sum of its proper divisors (142529448).

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

82516632 is a wasteful number, since it uses less digits than its factorization.

82516632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312583 (or 312579 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 82516632 is about 9083.8665776199. The cubic root of 82516632 is about 435.3586367277.

The spelling of 82516632 in words is "eighty-two million, five hundred sixteen thousand, six hundred thirty-two".