41337 has 8 divisors (see below), whose sum is σ = 61280. Its totient is φ = 27540.

The previous prime is 41333. The next prime is 41341. The reversal of 41337 is 73314.

41337 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 (41333) and next prime (41341).

It is not a de Polignac number, because 41337 - 2² = 41333 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41333) 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, 739 + ... + 792.

It is an arithmetic number, because the mean of its divisors is an integer number (7660).

2⁴¹³³⁷ is an apocalyptic number.

It is an amenable number.

41337 is a deficient number, since it is larger than the sum of its proper divisors (19943).

41337 is a wasteful number, since it uses less digits than its factorization.

41337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1534 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 41337 is about 203.3150264983. The cubic root of 41337 is about 34.5763902773.

It can be divided in two parts, 41 and 337, that added together give a triangular number (378 = T₂₇).

The spelling of 41337 in words is "forty-one thousand, three hundred thirty-seven".