82961662961 has 8 divisors (see below), whose sum is σ = 83283676200. Its totient is φ = 82639751040.

The previous prime is 82961662951. The next prime is 82961662981. The reversal of 82961662961 is 16926616928.

It can be written as a sum of positive squares in 4 ways, for example, as 3975933025 + 78985729936 = 63055^2 + 281044^2 .

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-82961662961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82961662897 and 82961662906.

It is not an unprimeable number, because it can be changed into a prime (82961662951) 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, 1896071 + ... + 1939331.

It is an arithmetic number, because the mean of its divisors is an integer number (10410459525).

Almost surely, 2^82961662961 is an apocalyptic number.

It is an amenable number.

82961662961 is a deficient number, since it is larger than the sum of its proper divisors (322013239).

82961662961 is a wasteful number, since it uses less digits than its factorization.

82961662961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50659.

The product of its digits is 3359232, while the sum is 56.

The spelling of 82961662961 in words is "eighty-two billion, nine hundred sixty-one million, six hundred sixty-two thousand, nine hundred sixty-one".