10738 has 16 divisors (see below), whose sum is σ = 20160. Its totient is φ = 4176.

The previous prime is 10733. The next prime is 10739. The reversal of 10738 is 83701.

10738 is nontrivially palindromic in base 9.

10738 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is an Ulam number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (10733) 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, 153 + ... + 211.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2¹⁰⁷³⁸ is an apocalyptic number.

10738 is a deficient number, since it is larger than the sum of its proper divisors (9422).

10738 is a wasteful number, since it uses less digits than its factorization.

10738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10738 is about 103.6243214694. The cubic root of 10738 is about 22.0618096524.

It can be divided in two parts, 1073 and 8, that added together give a triangular number (1081 = T₄₆).

The spelling of 10738 in words is "ten thousand, seven hundred thirty-eight".