82791001 has 2 divisors, whose sum is σ = 82791002. Its totient is φ = 82791000.

The previous prime is 82790989. The next prime is 82791011. The reversal of 82791001 is 10019728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61214976 + 21576025 = 7824^2 + 4645^2 .

It is a cyclic number.

It is not a de Polignac number, because 82791001 - 2²⁵ = 49236569 is a prime.

It is not a weakly prime, because it can be changed into another prime (82791011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41395500 + 41395501.

It is an arithmetic number, because the mean of its divisors is an integer number (41395501).

Almost surely, 2^82791001 is an apocalyptic number.

It is an amenable number.

82791001 is a deficient number, since it is larger than the sum of its proper divisors (1).

82791001 is an equidigital number, since it uses as much as digits as its factorization.

82791001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 82791001 is about 9098.9560390190. The cubic root of 82791001 is about 435.8406275099.

The spelling of 82791001 in words is "eighty-two million, seven hundred ninety-one thousand, one".