82829332657 has 8 divisors (see below), whose sum is σ = 83243029320. Its totient is φ = 82416215040.

The previous prime is 82829332639. The next prime is 82829332673. The reversal of 82829332657 is 75623392828.

It can be written as a sum of positive squares in 4 ways, for example, as 32256519201 + 50572813456 = 179601^2 + 224884^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82829332657 - 2⁷ = 82829332529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82829332598 and 82829332607.

It is not an unprimeable number, because it can be changed into a prime (82829335657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143469 + ... + 431557.

It is an arithmetic number, because the mean of its divisors is an integer number (10405378665).

Almost surely, 2^82829332657 is an apocalyptic number.

It is an amenable number.

82829332657 is a deficient number, since it is larger than the sum of its proper divisors (413696663).

82829332657 is a wasteful number, since it uses less digits than its factorization.

82829332657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289523.

The product of its digits is 8709120, while the sum is 55.

The spelling of 82829332657 in words is "eighty-two billion, eight hundred twenty-nine million, three hundred thirty-two thousand, six hundred fifty-seven".