87723 has 18 divisors (see below), whose sum is σ = 138684. Its totient is φ = 55404.

The previous prime is 87721. The next prime is 87739. The reversal of 87723 is 32778.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 87723 - 2¹ = 87721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 4 and base 16.

It is not an unprimeable number, because it can be changed into a prime (87721) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4608 + ... + 4626.

2⁸⁷⁷²³ is an apocalyptic number.

87723 is a deficient number, since it is larger than the sum of its proper divisors (50961).

87723 is an equidigital number, since it uses as much as digits as its factorization.

87723 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 22 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 87723 is about 296.1806880943. The cubic root of 87723 is about 44.4328828723.

Multiplying 87723 by its sum of digits (27), we get a square (2368521 = 1539²).

87723 divided by its sum of digits (27) gives a square (3249 = 57²).

Multiplying 87723 by its product of digits (2352), we get a square (206324496 = 14364²).

Subtracting from 87723 its reverse (32778), we obtain a palindrome (54945).

It can be divided in two parts, 877 and 23, that added together give a square (900 = 30²).

The spelling of 87723 in words is "eighty-seven thousand, seven hundred twenty-three".