40337 has 8 divisors (see below), whose sum is σ = 46560. Its totient is φ = 34560.

The previous prime is 40289. The next prime is 40343. The reversal of 40337 is 73304.

40337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 40337 - 2¹⁰ = 39313 is a prime.

It is a Duffinian number.

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 40337.

It is not an unprimeable number, because it can be changed into a prime (40357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (5820).

2⁴⁰³³⁷ is an apocalyptic number.

It is an amenable number.

40337 is a deficient number, since it is larger than the sum of its proper divisors (6223).

40337 is a wasteful number, since it uses less digits than its factorization.

40337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223.

The product of its (nonzero) digits is 252, while the sum is 17.

The square root of 40337 is about 200.8407329204. The cubic root of 40337 is about 34.2952941154.

The spelling of 40337 in words is "forty thousand, three hundred thirty-seven".