24765 has 16 divisors (see below), whose sum is σ = 43008. Its totient is φ = 12096.

The previous prime is 24763. The next prime is 24767. The reversal of 24765 is 56742.

24765 = T₃₀ + T₃₁ + ... + T₅₅.

It is a happy number.

24765 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (24763) and next prime (24767).

It is not a de Polignac number, because 24765 - 2¹ = 24763 is a prime.

It is a super-2 number, since 2×24765² = 1226610450, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 24765.

It is not an unprimeable number, because it can be changed into a prime (24763) 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, 132 + ... + 258.

It is an arithmetic number, because the mean of its divisors is an integer number (2688).

2²⁴⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

24765 is a deficient number, since it is larger than the sum of its proper divisors (18243).

24765 is a wasteful number, since it uses less digits than its factorization.

24765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148.

The product of its digits is 1680, while the sum is 24.

The square root of 24765 is about 157.3689931340. The cubic root of 24765 is about 29.1482695775.

The spelling of 24765 in words is "twenty-four thousand, seven hundred sixty-five".