32823 has 12 divisors (see below), whose sum is σ = 54288. Its totient is φ = 18720.

The previous prime is 32803. The next prime is 32831.

32823 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32823 - 2¹⁰ = 31799 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 32796 and 32805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32803) 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, 198 + ... + 323.

It is an arithmetic number, because the mean of its divisors is an integer number (4524).

2³²⁸²³ is an apocalyptic number.

32823 is a deficient number, since it is larger than the sum of its proper divisors (21465).

32823 is a wasteful number, since it uses less digits than its factorization.

32823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 531 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 32823 is about 181.1711897626. The cubic root of 32823 is about 32.0178936383.

It can be divided in two parts, 328 and 23, that added together give a triangular number (351 = T₂₆).

The spelling of 32823 in words is "thirty-two thousand, eight hundred twenty-three".