75638257 has 2 divisors, whose sum is σ = 75638258. Its totient is φ = 75638256.

The previous prime is 75638239. The next prime is 75638273. The reversal of 75638257 is 75283657.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60279696 + 15358561 = 7764^2 + 3919^2 .

It is an emirp because it is prime and its reverse (75283657) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 75638257 - 2²³ = 67249649 is a prime.

It is a super-2 number, since 2×75638257² = 11442291843996098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (75638207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37819128 + 37819129.

It is an arithmetic number, because the mean of its divisors is an integer number (37819129).

Almost surely, 2^75638257 is an apocalyptic number.

It is an amenable number.

75638257 is a deficient number, since it is larger than the sum of its proper divisors (1).

75638257 is an equidigital number, since it uses as much as digits as its factorization.

75638257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 352800, while the sum is 43.

The square root of 75638257 is about 8697.0257559697. The cubic root of 75638257 is about 422.9092368981.

The spelling of 75638257 in words is "seventy-five million, six hundred thirty-eight thousand, two hundred fifty-seven".