32923 has 8 divisors (see below), whose sum is σ = 37296. Its totient is φ = 28800.

The previous prime is 32917. The next prime is 32933.

32923 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 32923 - 2⁹ = 32411 is a prime.

It is a d-powerful number, because it can be written as 3² + 2⁷ + 9 + 2¹⁵ + 3² .

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

32923 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 32923.

It is not an unprimeable number, because it can be changed into a prime (32933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415 + ... + 487.

It is an arithmetic number, because the mean of its divisors is an integer number (4662).

2³²⁹²³ is an apocalyptic number.

32923 is a deficient number, since it is larger than the sum of its proper divisors (4373).

32923 is a wasteful number, since it uses less digits than its factorization.

32923 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125.

The product of its digits is 324, while the sum is 19.

The square root of 32923 is about 181.4469619476. The cubic root of 32923 is about 32.0503763819.

It can be divided in two parts, 3 and 2923, that added together give a triangular number (2926 = T₇₆).

The spelling of 32923 in words is "thirty-two thousand, nine hundred twenty-three".