82732742689 has 9 divisors (see below), whose sum is σ = 83059917969. Its totient is φ = 82406854500.

The previous prime is 82732742639. The next prime is 82732742747. The reversal of 82732742689 is 98624723728.

The square root of 82732742689 is 287633.

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

It is not a de Polignac number, because 82732742689 - 2²⁷ = 82598524961 is a prime.

It is a Duffinian number.

Its product of digits (16257024) is a multiple of the sum of its prime divisors (1134).

It is not an unprimeable number, because it can be changed into a prime (82732742639) 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, 110163064 + ... + 110163814.

Almost surely, 2^82732742689 is an apocalyptic number.

82732742689 is the 287633-rd square number.

82732742689 is the 143817-th centered octagonal number.

It is an amenable number.

82732742689 is a deficient number, since it is larger than the sum of its proper divisors (327175280).

82732742689 is an frugal number, since it uses more digits than its factorization.

82732742689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 1134 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 58.

The spelling of 82732742689 in words is "eighty-two billion, seven hundred thirty-two million, seven hundred forty-two thousand, six hundred eighty-nine".