7535 has 8 divisors (see below), whose sum is σ = 9936. Its totient is φ = 5440.

The previous prime is 7529. The next prime is 7537. The reversal of 7535 is 5357.

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

It is a de Polignac number, because none of the positive numbers 2^k-7535 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7537) 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, 14 + ... + 123.

It is an arithmetic number, because the mean of its divisors is an integer number (1242).

2⁷⁵³⁵ is an apocalyptic number.

7535 is a deficient number, since it is larger than the sum of its proper divisors (2401).

7535 is a wasteful number, since it uses less digits than its factorization.

7535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153.

The product of its digits is 525, while the sum is 20.

The square root of 7535 is about 86.8043777698. The cubic root of 7535 is about 19.6047399337.

The spelling of 7535 in words is "seven thousand, five hundred thirty-five".