8037 has 12 divisors (see below), whose sum is σ = 12480. Its totient is φ = 4968.

The previous prime is 8017. The next prime is 8039. The reversal of 8037 is 7308.

It is not a de Polignac number, because 8037 - 2¹⁰ = 7013 is a prime.

8037 is a modest number, since divided by 37 gives 8 as remainder.

8037 is a lucky number.

It is a plaindrome in base 12 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8037.

It is not an unprimeable number, because it can be changed into a prime (8039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148 + ... + 194.

It is an arithmetic number, because the mean of its divisors is an integer number (1040).

2⁸⁰³⁷ is an apocalyptic number.

8037 is the 57-th heptagonal number.

It is an amenable number.

8037 is a deficient number, since it is larger than the sum of its proper divisors (4443).

8037 is a wasteful number, since it uses less digits than its factorization.

8037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 8037 is about 89.6493167849. The cubic root of 8037 is about 20.0307859204.

Subtracting from 8037 its reverse (7308), we obtain a 6-th power (729 = 3⁶).

The spelling of 8037 in words is "eight thousand, thirty-seven".