25653 has 8 divisors (see below), whose sum is σ = 36288. Its totient is φ = 16064.

The previous prime is 25643. The next prime is 25657. The reversal of 25653 is 35652.

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

It is a cyclic number.

It is not a de Polignac number, because 25653 - 2⁵ = 25621 is a prime.

It is a d-powerful number, because it can be written as 2¹⁴ + 5⁴ + 6⁵ + 5⁴ + 3⁵ .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

2²⁵⁶⁵³ is an apocalyptic number.

It is an amenable number.

25653 is a deficient number, since it is larger than the sum of its proper divisors (10635).

25653 is a wasteful number, since it uses less digits than its factorization.

25653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523.

The product of its digits is 900, while the sum is 21.

The square root of 25653 is about 160.1655393647. The cubic root of 25653 is about 29.4925768932.

Subtracting from 25653 its product of digits (900), we obtain a triangular number (24753 = T₂₂₂).

Subtracting 25653 from its reverse (35652), we obtain a palindrome (9999).

The spelling of 25653 in words is "twenty-five thousand, six hundred fifty-three".