10538 has 8 divisors (see below), whose sum is σ = 17280. Its totient is φ = 4780.

The previous prime is 10531. The next prime is 10559. The reversal of 10538 is 83501.

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

It is a super-2 number, since 2×10538² = 222098888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10531) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 218 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2¹⁰⁵³⁸ is an apocalyptic number.

10538 is a deficient number, since it is larger than the sum of its proper divisors (6742).

10538 is a wasteful number, since it uses less digits than its factorization.

10538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10538 is about 102.6547612145. The cubic root of 10538 is about 21.9239800435.

The spelling of 10538 in words is "ten thousand, five hundred thirty-eight".