24345 has 12 divisors (see below), whose sum is σ = 42276. Its totient is φ = 12960.

The previous prime is 24337. The next prime is 24359. The reversal of 24345 is 54342.

24345 = 16² + 17² + ... + 42².

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9216 + 15129 = 96^2 + 123^2 .

It is not a de Polignac number, because 24345 - 2³ = 24337 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 an Ulam number.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226 + ... + 315.

It is an arithmetic number, because the mean of its divisors is an integer number (3523).

2²⁴³⁴⁵ is an apocalyptic number.

It is an amenable number.

24345 is a deficient number, since it is larger than the sum of its proper divisors (17931).

24345 is a wasteful number, since it uses less digits than its factorization.

24345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 549 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 24345 is about 156.0288434874. The cubic root of 24345 is about 28.9825499459.

Adding to 24345 its reverse (54342), we get a palindrome (78687).

The spelling of 24345 in words is "twenty-four thousand, three hundred forty-five".