31823 has 6 divisors (see below), whose sum is σ = 35112. Its totient is φ = 28820.

The previous prime is 31817. The next prime is 31847. The reversal of 31823 is 32813.

31823 = 27² + 28² + ... + 48².

It is not a de Polignac number, because 31823 - 2⁸ = 31567 is a prime.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31873) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11 + ... + 252.

It is an arithmetic number, because the mean of its divisors is an integer number (5852).

2³¹⁸²³ is an apocalyptic number.

31823 is a deficient number, since it is larger than the sum of its proper divisors (3289).

31823 is a wasteful number, since it uses less digits than its factorization.

31823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

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

The square root of 31823 is about 178.3900221425. The cubic root of 31823 is about 31.6893773680.

Subtracting 31823 from its reverse (32813), we obtain a triangular number (990 = T₄₄).

The spelling of 31823 in words is "thirty-one thousand, eight hundred twenty-three".