103823 has 4 divisors (see below), whose sum is σ = 106080. Its totient is φ = 101614.

The previous prime is 103813. The next prime is 103837. The reversal of 103823 is 328301.

103823 = 22² + 23² + ... + 68².

The cubic root of 103823 is 47.

It is a perfect power (a cube), and thus also a powerful number.

It is not a de Polignac number, because 103823 - 2⁸ = 103567 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2186 + ... + 2232.

It is an arithmetic number, because the mean of its divisors is an integer number (26520).

103823 is a Friedman number, since it can be written as (8*3*2-1-0)^3, using all its digits and the basic arithmetic operations.

2¹⁰³⁸²³ is an apocalyptic number.

103823 is a deficient number, since it is larger than the sum of its proper divisors (2257).

103823 is an frugal number, since it uses more digits than its factorization.

103823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 103823 is about 322.2157662188.

The spelling of 103823 in words is "one hundred three thousand, eight hundred twenty-three".