75617 has 2 divisors, whose sum is σ = 75618. Its totient is φ = 75616.

The previous prime is 75611. The next prime is 75619. The reversal of 75617 is 71657.

75617 is nontrivially palindromic in base 4.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57121 + 18496 = 239^2 + 136^2 .

It is a cyclic number.

It is not a de Polignac number, because 75617 - 2⁶ = 75553 is a prime.

Together with 75619, 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 (75611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37808 + 37809.

It is an arithmetic number, because the mean of its divisors is an integer number (37809).

2⁷⁵⁶¹⁷ is an apocalyptic number.

It is an amenable number.

75617 is a deficient number, since it is larger than the sum of its proper divisors (1).

75617 is an equidigital number, since it uses as much as digits as its factorization.

75617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1470, while the sum is 26.

The square root of 75617 is about 274.9854541608. The cubic root of 75617 is about 42.2869615749.

Subtracting from 75617 its product of digits (1470), we obtain a palindrome (74147).

The spelling of 75617 in words is "seventy-five thousand, six hundred seventeen".