83008657 has 2 divisors, whose sum is σ = 83008658. Its totient is φ = 83008656.

The previous prime is 83008631. The next prime is 83008661. The reversal of 83008657 is 75680038.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82737216 + 271441 = 9096^2 + 521^2 .

It is a cyclic number.

It is not a de Polignac number, because 83008657 - 2⁷ = 83008529 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (83002657) 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, 41504328 + 41504329.

It is an arithmetic number, because the mean of its divisors is an integer number (41504329).

Almost surely, 2^83008657 is an apocalyptic number.

It is an amenable number.

83008657 is a deficient number, since it is larger than the sum of its proper divisors (1).

83008657 is an equidigital number, since it uses as much as digits as its factorization.

83008657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 83008657 is about 9110.9086813556. The cubic root of 83008657 is about 436.2222322591. Note that the first 4 decimals are identical.

The spelling of 83008657 in words is "eighty-three million, eight thousand, six hundred fifty-seven".