39937 has 2 divisors, whose sum is σ = 39938. Its totient is φ = 39936.

The previous prime is 39929. The next prime is 39953. The reversal of 39937 is 73993.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38416 + 1521 = 196^2 + 39^2 .

It is a cyclic number.

It is not a de Polignac number, because 39937 - 2³ = 39929 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 39899 and 39908.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39937.

It is not a weakly prime, because it can be changed into another prime (30937) 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, 19968 + 19969.

It is an arithmetic number, because the mean of its divisors is an integer number (19969).

It is a Proth number, since it is equal to 39 ⋅ 2¹⁰ + 1 and 39 < 2¹⁰.

2³⁹⁹³⁷ is an apocalyptic number.

It is an amenable number.

39937 is a deficient number, since it is larger than the sum of its proper divisors (1).

39937 is an equidigital number, since it uses as much as digits as its factorization.

39937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5103, while the sum is 31.

The square root of 39937 is about 199.8424379355. The cubic root of 39937 is about 34.1815547516.

The spelling of 39937 in words is "thirty-nine thousand, nine hundred thirty-seven".