2535 has 12 divisors (see below), whose sum is σ = 4392. Its totient is φ = 1248.

The previous prime is 2531. The next prime is 2539. The reversal of 2535 is 5352.

It is an interprime number because it is at equal distance from previous prime (2531) and next prime (2539).

It is not a de Polignac number, because 2535 - 2² = 2531 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

2535 is an undulating number in base 8.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189 + ... + 201.

It is an arithmetic number, because the mean of its divisors is an integer number (366).

2535 is a deficient number, since it is larger than the sum of its proper divisors (1857).

2535 is a wasteful number, since it uses less digits than its factorization.

2535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 21 counting only the distinct ones).

The product of its digits is 150, while the sum is 15.

The square root of 2535 is about 50.3487835007. The cubic root of 2535 is about 13.6351312017.

Multiplying 2535 by its sum of digits (15), we get a square (38025 = 195²).

2535 divided by its sum of digits (15) gives a square (169 = 13²).

Adding to 2535 its reverse (5352), we get a palindrome (7887).

The spelling of 2535 in words is "two thousand, five hundred thirty-five".