82712616 has 64 divisors (see below), whose sum is σ = 250231680. Its totient is φ = 22241280.

The previous prime is 82712603. The next prime is 82712629. The reversal of 82712616 is 61621728.

It is an interprime number because it is at equal distance from previous prime (82712603) and next prime (82712629).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11625 + ... + 17336.

It is an arithmetic number, because the mean of its divisors is an integer number (3909870).

Almost surely, 2^82712616 is an apocalyptic number.

It is an amenable number.

82712616 is an abundant number, since it is smaller than the sum of its proper divisors (167519064).

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

82712616 is a wasteful number, since it uses less digits than its factorization.

82712616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28994 (or 28990 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 82712616 is about 9094.6476567265. The cubic root of 82712616 is about 435.7030354424.

The spelling of 82712616 in words is "eighty-two million, seven hundred twelve thousand, six hundred sixteen".