82961117892 has 30 divisors (see below), whose sum is σ = 216876750398. Its totient is φ = 27653705856.

The previous prime is 82961117873. The next prime is 82961117893. The reversal of 82961117892 is 29871116928.

It is a happy number.

82961117892 is a `hidden beast` number, since 8 + 2 + 9 + 611 + 17 + 8 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80137683396 + 2823434496 = 283086^2 + 53136^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82961117893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 128026093 + ... + 128026740.

Almost surely, 2^82961117892 is an apocalyptic number.

It is an amenable number.

82961117892 is an abundant number, since it is smaller than the sum of its proper divisors (133915632506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82961117892 is a wasteful number, since it uses less digits than its factorization.

82961117892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256052849 (or 256052838 counting only the distinct ones).

The product of its digits is 870912, while the sum is 54.

The spelling of 82961117892 in words is "eighty-two billion, nine hundred sixty-one million, one hundred seventeen thousand, eight hundred ninety-two".