123823 has 12 divisors (see below), whose sum is σ = 152400. Its totient is φ = 100548.

The previous prime is 123821. The next prime is 123829. The reversal of 123823 is 328321.

It is a happy number.

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 123823 - 2¹ = 123821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 123823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6508 + ... + 6526.

It is an arithmetic number, because the mean of its divisors is an integer number (12700).

2¹²³⁸²³ is an apocalyptic number.

123823 is a deficient number, since it is larger than the sum of its proper divisors (28577).

123823 is an frugal number, since it uses more digits than its factorization.

123823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 26 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 123823 is about 351.8849243716. The cubic root of 123823 is about 49.8425715123.

Multiplying 123823 by its sum of digits (19), we get a cube (2352637 = 133³).

It can be divided in two parts, 123 and 823, that added together give a triangular number (946 = T₄₃).

The spelling of 123823 in words is "one hundred twenty-three thousand, eight hundred twenty-three".