82972301 has 2 divisors, whose sum is σ = 82972302. Its totient is φ = 82972300.

The previous prime is 82972283. The next prime is 82972321. The reversal of 82972301 is 10327928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44903401 + 38068900 = 6701^2 + 6170^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82972301 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82972321) 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, 41486150 + 41486151.

It is an arithmetic number, because the mean of its divisors is an integer number (41486151).

Almost surely, 2^82972301 is an apocalyptic number.

It is an amenable number.

82972301 is a deficient number, since it is larger than the sum of its proper divisors (1).

82972301 is an equidigital number, since it uses as much as digits as its factorization.

82972301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 82972301 is about 9108.9132721747. The cubic root of 82972301 is about 436.1585376520.

The spelling of 82972301 in words is "eighty-two million, nine hundred seventy-two thousand, three hundred one".