50337 has 24 divisors (see below), whose sum is σ = 89856. Its totient is φ = 26496.

The previous prime is 50333. The next prime is 50341. The reversal of 50337 is 73305.

50337 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (50333) and next prime (50341).

It is not a de Polignac number, because 50337 - 2² = 50333 is a 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 50337.

It is not an unprimeable number, because it can be changed into a prime (50333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1048 + ... + 1094.

It is an arithmetic number, because the mean of its divisors is an integer number (3744).

2⁵⁰³³⁷ is an apocalyptic number.

It is an amenable number.

50337 is a deficient number, since it is larger than the sum of its proper divisors (39519).

50337 is a wasteful number, since it uses less digits than its factorization.

50337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 50337 is about 224.3590871795. The cubic root of 50337 is about 36.9228976353.

The spelling of 50337 in words is "fifty thousand, three hundred thirty-seven".