10938 has 8 divisors (see below), whose sum is σ = 21888. Its totient is φ = 3644.

The previous prime is 10937. The next prime is 10939. The reversal of 10938 is 83901.

10938 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (10937) and next prime (10939).

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

10938 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (10937) 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, 906 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (2736).

2¹⁰⁹³⁸ is an apocalyptic number.

10938 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (10944).

10938 is a wasteful number, since it uses less digits than its factorization.

10938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10938 is about 104.5848937467. The cubic root of 10938 is about 22.1979382876.

The spelling of 10938 in words is "ten thousand, nine hundred thirty-eight".