82931605 has 16 divisors (see below), whose sum is σ = 101599344. Its totient is φ = 64972800.

The previous prime is 82931579. The next prime is 82931609. The reversal of 82931605 is 50613928.

It can be written as a sum of positive squares in 8 ways, for example, as 1535121 + 81396484 = 1239^2 + 9022^2 .

It is not a de Polignac number, because 82931605 - 2¹⁷ = 82800533 is a prime.

It is a super-2 number, since 2×82931605² = 13755302215752050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82931609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48139 + ... + 49831.

It is an arithmetic number, because the mean of its divisors is an integer number (6349959).

Almost surely, 2^82931605 is an apocalyptic number.

It is an amenable number.

82931605 is a deficient number, since it is larger than the sum of its proper divisors (18667739).

82931605 is a wasteful number, since it uses less digits than its factorization.

82931605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 82931605 is about 9106.6791422560. The cubic root of 82931605 is about 436.0872174227.

The spelling of 82931605 in words is "eighty-two million, nine hundred thirty-one thousand, six hundred five".