23845 has 8 divisors (see below), whose sum is σ = 30240. Its totient is φ = 18000.

The previous prime is 23833. The next prime is 23857. The reversal of 23845 is 54832.

23845 = T₆₄ + T₆₅ + ... + T₇₃.

23845 = 26² + 27² + ... + 44².

It is an interprime number because it is at equal distance from previous prime (23833) and next prime (23857).

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

It is not a de Polignac number, because 23845 - 2⁵ = 23813 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31 + ... + 220.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2²³⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

23845 is a deficient number, since it is larger than the sum of its proper divisors (6395).

23845 is a wasteful number, since it uses less digits than its factorization.

23845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275.

The product of its digits is 960, while the sum is 22.

The square root of 23845 is about 154.4182631686. The cubic root of 23845 is about 28.7827603872.

It can be divided in two parts, 23 and 845, that added together give a palindrome (868).

The spelling of 23845 in words is "twenty-three thousand, eight hundred forty-five".