82764116 has 12 divisors (see below), whose sum is σ = 148751988. Its totient is φ = 40263552.

The previous prime is 82764107. The next prime is 82764151. The reversal of 82764116 is 61146728.

It can be written as a sum of positive squares in 2 ways, for example, as 51179716 + 31584400 = 7154^2 + 5620^2 .

It is a super-2 number, since 2×82764116² = 13699797794522912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 279461 + ... + 279756.

It is an arithmetic number, because the mean of its divisors is an integer number (12395999).

Almost surely, 2^82764116 is an apocalyptic number.

It is an amenable number.

82764116 is a deficient number, since it is larger than the sum of its proper divisors (65987872).

82764116 is a wasteful number, since it uses less digits than its factorization.

82764116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559258 (or 559256 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 82764116 is about 9097.4785517747. The cubic root of 82764116 is about 435.7934450717.

The spelling of 82764116 in words is "eighty-two million, seven hundred sixty-four thousand, one hundred sixteen".