75931 has 2 divisors, whose sum is σ = 75932. Its totient is φ = 75930.

The previous prime is 75913. The next prime is 75937. The reversal of 75931 is 13957.

75931 is nontrivially palindromic in base 15.

Together with previous prime (75913) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 75931 - 2¹¹ = 73883 is a prime.

It is a super-2 number, since 2×75931² = 11531033522, which contains 22 as substring.

It is an Ulam number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 75896 and 75905.

It is not a weakly prime, because it can be changed into another prime (75937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37965 + 37966.

It is an arithmetic number, because the mean of its divisors is an integer number (37966).

2⁷⁵⁹³¹ is an apocalyptic number.

75931 is a deficient number, since it is larger than the sum of its proper divisors (1).

75931 is an equidigital number, since it uses as much as digits as its factorization.

75931 is an evil number, because the sum of its binary digits is even.

The product of its digits is 945, while the sum is 25.

The square root of 75931 is about 275.5558019712. Note that the first 3 decimals coincide. The cubic root of 75931 is about 42.3454130214.

The spelling of 75931 in words is "seventy-five thousand, nine hundred thirty-one".