75823 has 8 divisors (see below), whose sum is σ = 84816. Its totient is φ = 67200.

The previous prime is 75821. The next prime is 75833. The reversal of 75823 is 32857.

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

It is a cyclic number.

It is not a de Polignac number, because 75823 - 2¹ = 75821 is a prime.

It is a Duffinian number.

75823 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75821) 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, 615 + ... + 727.

It is an arithmetic number, because the mean of its divisors is an integer number (10602).

2⁷⁵⁸²³ is an apocalyptic number.

75823 is a deficient number, since it is larger than the sum of its proper divisors (8993).

75823 is a wasteful number, since it uses less digits than its factorization.

75823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185.

The product of its digits is 1680, while the sum is 25.

The square root of 75823 is about 275.3597646716. The cubic root of 75823 is about 42.3253269143.

It can be divided in two parts, 75 and 823, that added together give a palindrome (898).

The spelling of 75823 in words is "seventy-five thousand, eight hundred twenty-three".