82329398761 has 9 divisors (see below), whose sum is σ = 83357382711. Its totient is φ = 81313949952.

The previous prime is 82329398741. The next prime is 82329398777. The reversal of 82329398761 is 16789392328.

The square root of 82329398761 is 286931.

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., 1186458025 + 81142940736 = 34445^2 + 284856^2 .

It is not a de Polignac number, because 82329398761 - 2⁵ = 82329398729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82329398696 and 82329398705.

It is not an unprimeable number, because it can be changed into a prime (82329398741) 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, 23813545 + ... + 23817001.

Almost surely, 2^82329398761 is an apocalyptic number.

82329398761 is the 286931-st square number.

82329398761 is the 143466-th centered octagonal number.

It is an amenable number.

82329398761 is a deficient number, since it is larger than the sum of its proper divisors (1027983950).

82329398761 is an frugal number, since it uses more digits than its factorization.

82329398761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7080 (or 3540 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 58.

The spelling of 82329398761 in words is "eighty-two billion, three hundred twenty-nine million, three hundred ninety-eight thousand, seven hundred sixty-one".