7538 has 4 divisors (see below), whose sum is σ = 11310. Its totient is φ = 3768.

The previous prime is 7537. The next prime is 7541. The reversal of 7538 is 8357.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 8357 = 61 ⋅137.

It can be written as a sum of positive squares in only one way, i.e., 5329 + 2209 = 73^2 + 47^2 .

It is a Curzon number.

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7538.

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 as a sum of consecutive naturals, namely, 1883 + ... + 1886.

2⁷⁵³⁸ is an apocalyptic number.

7538 is a deficient number, since it is larger than the sum of its proper divisors (3772).

7538 is a wasteful number, since it uses less digits than its factorization.

7538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771.

The product of its digits is 840, while the sum is 23.

The square root of 7538 is about 86.8216562846. The cubic root of 7538 is about 19.6073414120.

It can be divided in two parts, 75 and 38, that multiplied together give a triangular number (2850 = T₇₅).

The spelling of 7538 in words is "seven thousand, five hundred thirty-eight".