83147116761 has 32 divisors (see below), whose sum is σ = 123529548800. Its totient is φ = 55274762880.

The previous prime is 83147116681. The next prime is 83147116769. The reversal of 83147116761 is 16761174138.

It is a happy number.

It is not a de Polignac number, because 83147116761 - 2¹⁵ = 83147083993 is a prime.

It is a super-2 number, since 2×83147116761² (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 (83147116769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16730685 + ... + 16735653.

It is an arithmetic number, because the mean of its divisors is an integer number (3860298400).

Almost surely, 2^83147116761 is an apocalyptic number.

It is an amenable number.

83147116761 is a deficient number, since it is larger than the sum of its proper divisors (40382432039).

83147116761 is a wasteful number, since it uses less digits than its factorization.

83147116761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6606 (or 6600 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The spelling of 83147116761 in words is "eighty-three billion, one hundred forty-seven million, one hundred sixteen thousand, seven hundred sixty-one".