82708129 has 12 divisors (see below), whose sum is σ = 96364884. Its totient is φ = 70779744.

The previous prime is 82708103. The next prime is 82708163. The reversal of 82708129 is 92180728.

It can be written as a sum of positive squares in 2 ways, for example, as 52896529 + 29811600 = 7273^2 + 5460^2 .

It is not a de Polignac number, because 82708129 - 2⁵ = 82708097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82708189) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48007 + ... + 49699.

It is an arithmetic number, because the mean of its divisors is an integer number (8030407).

Almost surely, 2^82708129 is an apocalyptic number.

It is an amenable number.

82708129 is a deficient number, since it is larger than the sum of its proper divisors (13656755).

82708129 is a wasteful number, since it uses less digits than its factorization.

82708129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 82708129 is about 9094.4009698275. The cubic root of 82708129 is about 435.6951566166.

The spelling of 82708129 in words is "eighty-two million, seven hundred eight thousand, one hundred twenty-nine".