82118413961 has 8 divisors (see below), whose sum is σ = 83689921224. Its totient is φ = 80547725440.

The previous prime is 82118413933. The next prime is 82118413967. The reversal of 82118413961 is 16931481128.

It can be written as a sum of positive squares in 4 ways, for example, as 24918516736 + 57199897225 = 157856^2 + 239165^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82118413961 is a prime.

It is a super-2 number, since 2×82118413961² (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 (82118413967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236 + ... + 405261.

It is an arithmetic number, because the mean of its divisors is an integer number (10461240153).

Almost surely, 2^82118413961 is an apocalyptic number.

It is an amenable number.

82118413961 is a deficient number, since it is larger than the sum of its proper divisors (1571507263).

82118413961 is a wasteful number, since it uses less digits than its factorization.

82118413961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409371.

The product of its digits is 82944, while the sum is 44.

The spelling of 82118413961 in words is "eighty-two billion, one hundred eighteen million, four hundred thirteen thousand, nine hundred sixty-one".