82940599161 has 128 divisors (see below), whose sum is σ = 150073344000. Its totient is φ = 45167855040.

The previous prime is 82940599127. The next prime is 82940599171. The reversal of 82940599161 is 16199504928.

82940599161 is a `hidden beast` number, since 8 + 2 + 9 + 40 + 599 + 1 + 6 + 1 = 666.

It is not a de Polignac number, because 82940599161 - 2⁶ = 82940599097 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82940599098 and 82940599107.

It is not an unprimeable number, because it can be changed into a prime (82940599171) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78171571 + ... + 78172631.

It is an arithmetic number, because the mean of its divisors is an integer number (1172448000).

Almost surely, 2^82940599161 is an apocalyptic number.

It is an amenable number.

82940599161 is a deficient number, since it is larger than the sum of its proper divisors (67132744839).

82940599161 is a wasteful number, since it uses less digits than its factorization.

82940599161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

It can be divided in two parts, 82940599 and 161, that added together give a triangular number (82940760 = T₁₂₈₇₉).

The spelling of 82940599161 in words is "eighty-two billion, nine hundred forty million, five hundred ninety-nine thousand, one hundred sixty-one".