10038 has 16 divisors (see below), whose sum is σ = 23040. Its totient is φ = 2856.

The previous prime is 10037. The next prime is 10039. The reversal of 10038 is 83001.

10038 is nontrivially palindromic in base 4.

It is an interprime number because it is at equal distance from previous prime (10037) and next prime (10039).

It is a super-2 number, since 2×10038² = 201522888, which contains 22 as substring.

It is a plaindrome in base 8.

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 10038.

It is not an unprimeable number, because it can be changed into a prime (10037) 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, 78 + ... + 161.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

2¹⁰⁰³⁸ is an apocalyptic number.

10038 is an abundant number, since it is smaller than the sum of its proper divisors (13002).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11520).

10038 is a wasteful number, since it uses less digits than its factorization.

10038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10038 is about 100.1898198421. The cubic root of 10038 is about 21.5716019125.

Adding to 10038 its reverse (83001), we get a palindrome (93039).

The spelling of 10038 in words is "ten thousand, thirty-eight".