75007657 has 2 divisors, whose sum is σ = 75007658. Its totient is φ = 75007656.

The previous prime is 75007619. The next prime is 75007661. The reversal of 75007657 is 75670057.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47665216 + 27342441 = 6904^2 + 5229^2 .

It is a cyclic number.

It is not a de Polignac number, because 75007657 - 2⁷ = 75007529 is a prime.

It is a super-2 number, since 2×75007657² = 11252297217259298, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (75007607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37503828 + 37503829.

It is an arithmetic number, because the mean of its divisors is an integer number (37503829).

Almost surely, 2^75007657 is an apocalyptic number.

It is an amenable number.

75007657 is a deficient number, since it is larger than the sum of its proper divisors (1).

75007657 is an equidigital number, since it uses as much as digits as its factorization.

75007657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51450, while the sum is 37.

The square root of 75007657 is about 8660.6961036628. The cubic root of 75007657 is about 421.7306836379.

The spelling of 75007657 in words is "seventy-five million, seven thousand, six hundred fifty-seven".