24645 has 16 divisors (see below), whose sum is σ = 41472. Its totient is φ = 12480.

The previous prime is 24631. The next prime is 24659. The reversal of 24645 is 54642.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (24631) and next prime (24659).

It is not a de Polignac number, because 24645 - 2⁷ = 24517 is a prime.

24645 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (2592).

2²⁴⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

24645 is a deficient number, since it is larger than the sum of its proper divisors (16827).

24645 is a wasteful number, since it uses less digits than its factorization.

24645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92.

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

The square root of 24645 is about 156.9872606296. The cubic root of 24645 is about 29.1011135484.

The spelling of 24645 in words is "twenty-four thousand, six hundred forty-five".