82992001 has 2 divisors, whose sum is σ = 82992002. Its totient is φ = 82992000.

The previous prime is 82991969. The next prime is 82992023. The reversal of 82992001 is 10029928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77422401 + 5569600 = 8799^2 + 2360^2 .

It is a cyclic number.

It is not a de Polignac number, because 82992001 - 2⁵ = 82991969 is a prime.

It is not a weakly prime, because it can be changed into another prime (82992031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41496000 + 41496001.

It is an arithmetic number, because the mean of its divisors is an integer number (41496001).

Almost surely, 2^82992001 is an apocalyptic number.

It is an amenable number.

82992001 is a deficient number, since it is larger than the sum of its proper divisors (1).

82992001 is an equidigital number, since it uses as much as digits as its factorization.

82992001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 82992001 is about 9109.9945664089. The cubic root of 82992001 is about 436.1930537622.

The spelling of 82992001 in words is "eighty-two million, nine hundred ninety-two thousand, one".