82357831001 has 2 divisors, whose sum is σ = 82357831002. Its totient is φ = 82357831000.

The previous prime is 82357830983. The next prime is 82357831007. The reversal of 82357831001 is 10013875328.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56380128025 + 25977702976 = 237445^2 + 161176^2 .

It is a cyclic number.

It is not a de Polignac number, because 82357831001 - 2⁶ = 82357830937 is a prime.

It is not a weakly prime, because it can be changed into another prime (82357831007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41178915500 + 41178915501.

It is an arithmetic number, because the mean of its divisors is an integer number (41178915501).

Almost surely, 2^82357831001 is an apocalyptic number.

It is an amenable number.

82357831001 is a deficient number, since it is larger than the sum of its proper divisors (1).

82357831001 is an equidigital number, since it uses as much as digits as its factorization.

82357831001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 82357831001 in words is "eighty-two billion, three hundred fifty-seven million, eight hundred thirty-one thousand, one".