82177968889 has 9 divisors (see below), whose sum is σ = 82491916143. Its totient is φ = 81865215192.

The previous prime is 82177968877. The next prime is 82177968931. The reversal of 82177968889 is 98886977128.

The square root of 82177968889 is 286667.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19122741225 + 63055227664 = 138285^2 + 251108^2 .

It is not a de Polignac number, because 82177968889 - 2⁹ = 82177968377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82177968589) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 125846487 + ... + 125847139.

Almost surely, 2^82177968889 is an apocalyptic number.

82177968889 is the 286667-th square number.

82177968889 is the 143334-th centered octagonal number.

It is an amenable number.

82177968889 is a deficient number, since it is larger than the sum of its proper divisors (313947254).

82177968889 is an frugal number, since it uses more digits than its factorization.

82177968889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 1092 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 73.

The spelling of 82177968889 in words is "eighty-two billion, one hundred seventy-seven million, nine hundred sixty-eight thousand, eight hundred eighty-nine".