10075657 has 2 divisors, whose sum is σ = 10075658. Its totient is φ = 10075656.

The previous prime is 10075621. The next prime is 10075669. The reversal of 10075657 is 75657001.

10075657 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., 8874441 + 1201216 = 2979^2 + 1096^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10075657 is a prime.

It is not a weakly prime, because it can be changed into another prime (10075687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5037828 + 5037829.

It is an arithmetic number, because the mean of its divisors is an integer number (5037829).

Almost surely, 2^10075657 is an apocalyptic number.

It is an amenable number.

10075657 is a deficient number, since it is larger than the sum of its proper divisors (1).

10075657 is an equidigital number, since it uses as much as digits as its factorization.

10075657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 10075657 is about 3174.2175413793. The cubic root of 10075657 is about 215.9854314020.

It can be divided in two parts, 100 and 75657, that added together give a palindrome (75757).

The spelling of 10075657 in words is "ten million, seventy-five thousand, six hundred fifty-seven".