24465 has 16 divisors (see below), whose sum is σ = 44928. Its totient is φ = 11136.

The previous prime is 24443. The next prime is 24469. The reversal of 24465 is 56442.

24465 = 28² + 29² + ... + 45².

It is a happy number.

It is not a de Polignac number, because 24465 - 2⁷ = 24337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12 + ... + 221.

It is an arithmetic number, because the mean of its divisors is an integer number (2808).

2²⁴⁴⁶⁵ is an apocalyptic number.

It is an amenable number.

24465 is a deficient number, since it is larger than the sum of its proper divisors (20463).

24465 is a wasteful number, since it uses less digits than its factorization.

24465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248.

The product of its digits is 960, while the sum is 21.

The square root of 24465 is about 156.4129150678. The cubic root of 24465 is about 29.0300916344.

Adding to 24465 its product of digits (960), we get a triangular number (25425 = T₂₂₅).

The spelling of 24465 in words is "twenty-four thousand, four hundred sixty-five".