45707657 has 2 divisors, whose sum is σ = 45707658. Its totient is φ = 45707656.

The previous prime is 45707653. The next prime is 45707659. The reversal of 45707657 is 75670754.

45707657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41783296 + 3924361 = 6464^2 + 1981^2 .

It is a cyclic number.

It is not a de Polignac number, because 45707657 - 2² = 45707653 is a prime.

Together with 45707659, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (45707653) 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, 22853828 + 22853829.

It is an arithmetic number, because the mean of its divisors is an integer number (22853829).

Almost surely, 2^45707657 is an apocalyptic number.

It is an amenable number.

45707657 is a deficient number, since it is larger than the sum of its proper divisors (1).

45707657 is an equidigital number, since it uses as much as digits as its factorization.

45707657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 205800, while the sum is 41.

The square root of 45707657 is about 6760.7438200245. The cubic root of 45707657 is about 357.5441306957.

It can be divided in two parts, 45707 and 657, that added together give a palindrome (46364).

The spelling of 45707657 in words is "forty-five million, seven hundred seven thousand, six hundred fifty-seven".