9937 has 4 divisors (see below), whose sum is σ = 10480. Its totient is φ = 9396.

The previous prime is 9931. The next prime is 9941. The reversal of 9937 is 7399.

9937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 9937 - 2³ = 9929 is a prime.

It is a Duffinian number.

9937 is a lucky number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (9931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 243 + ... + 280.

It is an arithmetic number, because the mean of its divisors is an integer number (2620).

It is an amenable number.

9937 is a deficient number, since it is larger than the sum of its proper divisors (543).

9937 is a wasteful number, since it uses less digits than its factorization.

9937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542.

The product of its digits is 1701, while the sum is 28.

The square root of 9937 is about 99.6845023060. The cubic root of 9937 is about 21.4990084273.

It can be divided in two parts, 993 and 7, that added together give a cube (1000 = 10³).

The spelling of 9937 in words is "nine thousand, nine hundred thirty-seven".