82001763961 has 16 divisors (see below), whose sum is σ = 88680592000. Its totient is φ = 75376407168.

The previous prime is 82001763923. The next prime is 82001763989. The reversal of 82001763961 is 16936710028.

It is a cyclic number.

It is not a de Polignac number, because 82001763961 - 2¹¹ = 82001761913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82001763161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4496740 + ... + 4514938.

It is an arithmetic number, because the mean of its divisors is an integer number (5542537000).

Almost surely, 2^82001763961 is an apocalyptic number.

It is an amenable number.

82001763961 is a deficient number, since it is larger than the sum of its proper divisors (6678828039).

82001763961 is a wasteful number, since it uses less digits than its factorization.

82001763961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19648.

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 82001763961 in words is "eighty-two billion, one million, seven hundred sixty-three thousand, nine hundred sixty-one".