57723 has 8 divisors (see below), whose sum is σ = 78336. Its totient is φ = 37800.

The previous prime is 57719. The next prime is 57727. The reversal of 57723 is 32775.

57723 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (57719) and next prime (57727).

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

It is not a de Polignac number, because 57723 - 2² = 57719 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57693 and 57702.

It is not an unprimeable number, because it can be changed into a prime (57727) 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, 78 + ... + 348.

It is an arithmetic number, because the mean of its divisors is an integer number (9792).

2⁵⁷⁷²³ is an apocalyptic number.

57723 is a deficient number, since it is larger than the sum of its proper divisors (20613).

57723 is a wasteful number, since it uses less digits than its factorization.

57723 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345.

The product of its digits is 1470, while the sum is 24.

The square root of 57723 is about 240.2561133457. The cubic root of 57723 is about 38.6470454684.

It can be divided in two parts, 5772 and 3, that added together give a palindrome (5775).

The spelling of 57723 in words is "fifty-seven thousand, seven hundred twenty-three".