82978601 has 2 divisors, whose sum is σ = 82978602. Its totient is φ = 82978600.

The previous prime is 82978559. The next prime is 82978619. The reversal of 82978601 is 10687928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68079001 + 14899600 = 8251^2 + 3860^2 .

It is a cyclic number.

It is not a de Polignac number, because 82978601 - 2¹⁰ = 82977577 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82978631) 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, 41489300 + 41489301.

It is an arithmetic number, because the mean of its divisors is an integer number (41489301).

Almost surely, 2^82978601 is an apocalyptic number.

It is an amenable number.

82978601 is a deficient number, since it is larger than the sum of its proper divisors (1).

82978601 is an equidigital number, since it uses as much as digits as its factorization.

82978601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 82978601 is about 9109.2590807376. The cubic root of 82978601 is about 436.1695763931.

The spelling of 82978601 in words is "eighty-two million, nine hundred seventy-eight thousand, six hundred one".