12738 has 16 divisors (see below), whose sum is σ = 27936. Its totient is φ = 3840.

The previous prime is 12721. The next prime is 12739. The reversal of 12738 is 83721.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (12739) 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, 31 + ... + 162.

It is an arithmetic number, because the mean of its divisors is an integer number (1746).

2¹²⁷³⁸ is an apocalyptic number.

12738 is an abundant number, since it is smaller than the sum of its proper divisors (15198).

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 (13968).

12738 is a wasteful number, since it uses less digits than its factorization.

12738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209.

The product of its digits is 336, while the sum is 21.

The square root of 12738 is about 112.8627485045. The cubic root of 12738 is about 23.3543121981.

The spelling of 12738 in words is "twelve thousand, seven hundred thirty-eight".