2635 has 8 divisors (see below), whose sum is σ = 3456. Its totient is φ = 1920.

The previous prime is 2633. The next prime is 2647. The reversal of 2635 is 5362.

2635 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 2635 - 2¹ = 2633 is a prime.

It is an Ulam number.

It is a Duffinian number.

2635 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 14 and base 15.

It is not an unprimeable number, because it can be changed into a prime (2633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 100.

It is an arithmetic number, because the mean of its divisors is an integer number (432).

2²⁶³⁵ is an apocalyptic number.

2635 is a deficient number, since it is larger than the sum of its proper divisors (821).

2635 is a wasteful number, since it uses less digits than its factorization.

2635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53.

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

The square root of 2635 is about 51.3322510708. The cubic root of 2635 is about 13.8121156640.

Adding to 2635 its reverse (5362), we get a palindrome (7997).

The spelling of 2635 in words is "two thousand, six hundred thirty-five".