82190582721 has 27 divisors (see below), whose sum is σ = 128571991587. Its totient is φ = 50571939600.

The previous prime is 82190582713. The next prime is 82190582753. The reversal of 82190582721 is 12728509128.

The square root of 82190582721 is 286689.

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., 12158370225 + 70032212496 = 110265^2 + 264636^2 .

It is not a de Polignac number, because 82190582721 - 2³ = 82190582713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82190582021) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11177196 + ... + 11184546.

Almost surely, 2^82190582721 is an apocalyptic number.

82190582721 is the 286689-th square number.

82190582721 is the 143345-th centered octagonal number.

It is an amenable number.

82190582721 is a deficient number, since it is larger than the sum of its proper divisors (46381408866).

82190582721 is an frugal number, since it uses more digits than its factorization.

82190582721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14734 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 82190582721 in words is "eighty-two billion, one hundred ninety million, five hundred eighty-two thousand, seven hundred twenty-one".