7533 has 12 divisors (see below), whose sum is σ = 11648. Its totient is φ = 4860.

The previous prime is 7529. The next prime is 7537. The reversal of 7533 is 3357.

It is an interprime number because it is at equal distance from previous prime (7529) and next prime (7537).

It is not a de Polignac number, because 7533 - 2² = 7529 is a prime.

It is a Duffinian number.

7533 is a lucky number.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7533.

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 11 ways as a sum of consecutive naturals, for example, 228 + ... + 258.

It is an amenable number.

7533 is a deficient number, since it is larger than the sum of its proper divisors (4115).

7533 is an equidigital number, since it uses as much as digits as its factorization.

7533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 34 counting only the distinct ones).

The product of its digits is 315, while the sum is 18.

The square root of 7533 is about 86.7928568489. The cubic root of 7533 is about 19.6030052313.

The spelling of 7533 in words is "seven thousand, five hundred thirty-three".