19937 has 2 divisors, whose sum is σ = 19938. Its totient is φ = 19936.

The previous prime is 19927. The next prime is 19949. The reversal of 19937 is 73991.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14161 + 5776 = 119^2 + 76^2 .

It is a cyclic number.

It is not a de Polignac number, because 19937 - 2⁸ = 19681 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 19937.

It is not a weakly prime, because it can be changed into another prime (19927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9968 + 9969.

It is an arithmetic number, because the mean of its divisors is an integer number (9969).

2¹⁹⁹³⁷ is an apocalyptic number.

It is an amenable number.

19937 is a deficient number, since it is larger than the sum of its proper divisors (1).

19937 is an equidigital number, since it uses as much as digits as its factorization.

19937 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1701, while the sum is 29.

The square root of 19937 is about 141.1984419177. The cubic root of 19937 is about 27.1156448020.

The spelling of 19937 in words is "nineteen thousand, nine hundred thirty-seven".