40037 has 2 divisors, whose sum is σ = 40038. Its totient is φ = 40036.

The previous prime is 40031. The next prime is 40039. The reversal of 40037 is 73004.

40037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37636 + 2401 = 194^2 + 49^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40037 is a prime.

It is a super-2 number, since 2×40037² = 3205922738, which contains 22 as substring.

Together with 40039, it forms a pair of twin primes.

It is a Chen prime.

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 40037.

It is not a weakly prime, because it can be changed into another prime (40031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20018 + 20019.

It is an arithmetic number, because the mean of its divisors is an integer number (20019).

2⁴⁰⁰³⁷ is an apocalyptic number.

It is an amenable number.

40037 is a deficient number, since it is larger than the sum of its proper divisors (1).

40037 is an equidigital number, since it uses as much as digits as its factorization.

40037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 40037 is about 200.0924786193. The cubic root of 40037 is about 34.2100605355.

The spelling of 40037 in words is "forty thousand, thirty-seven".