16937 has 2 divisors, whose sum is σ = 16938. Its totient is φ = 16936.

The previous prime is 16931. The next prime is 16943. The reversal of 16937 is 73961.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (16931) and next prime (16943).

It can be written as a sum of positive squares in only one way, i.e., 13456 + 3481 = 116^2 + 59^2 .

It is an emirp because it is prime and its reverse (73961) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 16937 - 2⁴ = 16921 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16937.

It is not a weakly prime, because it can be changed into another 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 as a sum of consecutive naturals, namely, 8468 + 8469.

It is an arithmetic number, because the mean of its divisors is an integer number (8469).

2¹⁶⁹³⁷ is an apocalyptic number.

It is an amenable number.

16937 is a deficient number, since it is larger than the sum of its proper divisors (1).

16937 is an equidigital number, since it uses as much as digits as its factorization.

16937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 26.

The square root of 16937 is about 130.1422298872. The cubic root of 16937 is about 25.6810136989.

The spelling of 16937 in words is "sixteen thousand, nine hundred thirty-seven".