2653 has 4 divisors (see below), whose sum is σ = 3040. Its totient is φ = 2268.

The previous prime is 2647. The next prime is 2657. The reversal of 2653 is 3562.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 2653 - 2⁵ = 2621 is a prime.

It is the 52-nd Hogben number.

It is a Duffinian number.

2653 is a lucky number.

It is a plaindrome in base 9 and base 15.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2657) by changing a digit.

It is a nontrivial repunit in base 51.

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 3 ways as a sum of consecutive naturals, for example, 183 + ... + 196.

It is an arithmetic number, because the mean of its divisors is an integer number (760).

2²⁶⁵³ is an apocalyptic number.

It is an amenable number.

2653 is a deficient number, since it is larger than the sum of its proper divisors (387).

2653 is an equidigital number, since it uses as much as digits as its factorization.

2653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386.

The product of its digits is 180, while the sum is 16.

The square root of 2653 is about 51.5072810387. The cubic root of 2653 is about 13.8434950577.

Subtracting 2653 from its reverse (3562), we obtain a palindrome (909).

It can be divided in two parts, 26 and 53, that multiplied together give a triangular number (1378 = T₅₂).

The spelling of 2653 in words is "two thousand, six hundred fifty-three".