8937 has 8 divisors (see below), whose sum is σ = 13280. Its totient is φ = 5940.

The previous prime is 8933. The next prime is 8941. The reversal of 8937 is 7398.

It is a happy number.

8937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8933) and next prime (8941).

It is not a de Polignac number, because 8937 - 2² = 8933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 331 = 8937 / (8 + 9 + 3 + 7).

It is a Duffinian number.

8937 is a lucky number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 8937.

It is not an unprimeable number, because it can be changed into a prime (8933) 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 7 ways as a sum of consecutive naturals, for example, 139 + ... + 192.

It is an arithmetic number, because the mean of its divisors is an integer number (1660).

It is an amenable number.

8937 is a deficient number, since it is larger than the sum of its proper divisors (4343).

8937 is a wasteful number, since it uses less digits than its factorization.

8937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 8937 is about 94.5357075395. The cubic root of 8937 is about 20.7521892498.

It can be divided in two parts, 893 and 7, that added together give a square (900 = 30²).

The spelling of 8937 in words is "eight thousand, nine hundred thirty-seven".