82948346767 has 24 divisors (see below), whose sum is σ = 99431097920. Its totient is φ = 68725800000.

The previous prime is 82948346707. The next prime is 82948346777. The reversal of 82948346767 is 76764384928.

It is not a de Polignac number, because 82948346767 - 2¹⁵ = 82948313999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82948346699 and 82948346708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82948346707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209484 + ... + 458017.

Almost surely, 2^82948346767 is an apocalyptic number.

82948346767 is a deficient number, since it is larger than the sum of its proper divisors (16482751153).

82948346767 is a wasteful number, since it uses less digits than its factorization.

82948346767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667615 (or 667604 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 64.

The spelling of 82948346767 in words is "eighty-two billion, nine hundred forty-eight million, three hundred forty-six thousand, seven hundred sixty-seven".