75257117 has 8 divisors (see below), whose sum is σ = 83841240. Its totient is φ = 67072320.

The previous prime is 75257111. The next prime is 75257123. The reversal of 75257117 is 71175257.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75257111) and next prime (75257123).

It can be written as a sum of positive squares in 4 ways, for example, as 417316 + 74839801 = 646^2 + 8651^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 75257117 - 2⁴ = 75257101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75257111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99434 + ... + 100187.

It is an arithmetic number, because the mean of its divisors is an integer number (10480155).

Almost surely, 2^75257117 is an apocalyptic number.

It is an amenable number.

75257117 is a deficient number, since it is larger than the sum of its proper divisors (8584123).

75257117 is a wasteful number, since it uses less digits than its factorization.

75257117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199663.

The product of its digits is 17150, while the sum is 35.

The square root of 75257117 is about 8675.0859938101. The cubic root of 75257117 is about 422.1976960541.

The spelling of 75257117 in words is "seventy-five million, two hundred fifty-seven thousand, one hundred seventeen".