75813 has 8 divisors (see below), whose sum is σ = 103968. Its totient is φ = 49104.

The previous prime is 75797. The next prime is 75821. The reversal of 75813 is 31857.

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

It is not a de Polignac number, because 75813 - 2⁴ = 75797 is a prime.

It is a super-2 number, since 2×75813² = 11495221938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75833) 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, 231 + ... + 452.

It is an arithmetic number, because the mean of its divisors is an integer number (12996).

2⁷⁵⁸¹³ is an apocalyptic number.

It is an amenable number.

75813 is a deficient number, since it is larger than the sum of its proper divisors (28155).

75813 is a wasteful number, since it uses less digits than its factorization.

75813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723.

The product of its digits is 840, while the sum is 24.

The square root of 75813 is about 275.3416060097. The cubic root of 75813 is about 42.3234661250.

Subtracting from 75813 its reverse (31857), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 75 and 813, that added together give a palindrome (888).

The spelling of 75813 in words is "seventy-five thousand, eight hundred thirteen".