82939122729 has 6 divisors (see below), whose sum is σ = 119800955066. Its totient is φ = 55292748480.

The previous prime is 82939122709. The next prime is 82939122731. The reversal of 82939122729 is 92722193928.

82939122729 is a `hidden beast` number, since 8 + 2 + 9 + 391 + 227 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81154905129 + 1784217600 = 284877^2 + 42240^2 .

It is not a de Polignac number, because 82939122729 - 2¹³ = 82939114537 is a prime.

It is a super-2 number, since 2×82939122729² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82939122709) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4607729032 + ... + 4607729049.

Almost surely, 2^82939122729 is an apocalyptic number.

It is an amenable number.

82939122729 is a deficient number, since it is larger than the sum of its proper divisors (36861832337).

82939122729 is a wasteful number, since it uses less digits than its factorization.

82939122729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9215458087 (or 9215458084 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 82939122729 in words is "eighty-two billion, nine hundred thirty-nine million, one hundred twenty-two thousand, seven hundred twenty-nine".