82705931 has 16 divisors (see below), whose sum is σ = 104364288. Its totient is φ = 63664800.

The previous prime is 82705927. The next prime is 82705957. The reversal of 82705931 is 13950728.

It is a cyclic number.

It is not a de Polignac number, because 82705931 - 2² = 82705927 is a prime.

It is a super-2 number, since 2×82705931² = 13680542045153522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82705891 and 82705900.

It is not an unprimeable number, because it can be changed into a prime (82705921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80 + ... + 12861.

It is an arithmetic number, because the mean of its divisors is an integer number (6522768).

Almost surely, 2^82705931 is an apocalyptic number.

82705931 is a deficient number, since it is larger than the sum of its proper divisors (21658357).

82705931 is a wasteful number, since it uses less digits than its factorization.

82705931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13042.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 82705931 is about 9094.2801254415. The cubic root of 82705931 is about 435.6912969942.

The spelling of 82705931 in words is "eighty-two million, seven hundred five thousand, nine hundred thirty-one".