16938 has 12 divisors (see below), whose sum is σ = 36738. Its totient is φ = 5640.

The previous prime is 16937. The next prime is 16943. The reversal of 16938 is 83961.

It can be written as a sum of positive squares in only one way, i.e., 13689 + 3249 = 117^2 + 57^2 .

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (16931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 453 + ... + 488.

2¹⁶⁹³⁸ is an apocalyptic number.

16938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

16938 is an abundant number, since it is smaller than the sum of its proper divisors (19800).

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

16938 is a wasteful number, since it uses less digits than its factorization.

16938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 946 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 16938 is about 130.1460717809. The cubic root of 16938 is about 25.6815191112.

The spelling of 16938 in words is "sixteen thousand, nine hundred thirty-eight".