75913 has 2 divisors, whose sum is σ = 75914. Its totient is φ = 75912.

The previous prime is 75883. The next prime is 75931. The reversal of 75913 is 31957.

Together with next prime (75931) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71289 + 4624 = 267^2 + 68^2 .

It is an emirp because it is prime and its reverse (31957) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 75913 - 2⁹ = 75401 is a prime.

It is a plaindrome in base 16.

It is not a weakly prime, because it can be changed into another prime (75983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37956 + 37957.

It is an arithmetic number, because the mean of its divisors is an integer number (37957).

2⁷⁵⁹¹³ is an apocalyptic number.

It is an amenable number.

75913 is a deficient number, since it is larger than the sum of its proper divisors (1).

75913 is an equidigital number, since it uses as much as digits as its factorization.

75913 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 75913 is about 275.5231387742. The cubic root of 75913 is about 42.3420666601.

Subtracting from 75913 its reverse (31957), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 75913 in words is "seventy-five thousand, nine hundred thirteen".