82967002131 has 16 divisors (see below), whose sum is σ = 119820740256. Its totient is φ = 50761487616.

The previous prime is 82967002091. The next prime is 82967002189. The reversal of 82967002131 is 13120076928.

It is not a de Polignac number, because 82967002131 - 2¹³ = 82966993939 is a prime.

It is a super-2 number, since 2×82967002131² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 82967002131.

It is not an unprimeable number, because it can be changed into a prime (82967002831) 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, 6141690 + ... + 6155183.

It is an arithmetic number, because the mean of its divisors is an integer number (7488796266).

Almost surely, 2^82967002131 is an apocalyptic number.

82967002131 is a deficient number, since it is larger than the sum of its proper divisors (36853738125).

82967002131 is a wasteful number, since it uses less digits than its factorization.

82967002131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12297062.

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 82967002131 in words is "eighty-two billion, nine hundred sixty-seven million, two thousand, one hundred thirty-one".