50737 has 4 divisors (see below), whose sum is σ = 51300. Its totient is φ = 50176.

The previous prime is 50723. The next prime is 50741. The reversal of 50737 is 73705.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 73705 = 5 ⋅14741.

It can be written as a sum of positive squares in 2 ways, for example, as 12321 + 38416 = 111^2 + 196^2 .

It is a 3-Lehmer number, since φ(50737) divides (50737-1)³.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-50737 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (50707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112 + ... + 337.

It is an arithmetic number, because the mean of its divisors is an integer number (12825).

2⁵⁰⁷³⁷ is an apocalyptic number.

50737 is the 113-rd decagonal number.

It is an amenable number.

50737 is a deficient number, since it is larger than the sum of its proper divisors (563).

50737 is a wasteful number, since it uses less digits than its factorization.

50737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562.

The product of its (nonzero) digits is 735, while the sum is 22.

The square root of 50737 is about 225.2487513839. The cubic root of 50737 is about 37.0204415898.

It can be divided in two parts, 5073 and 7, that multiplied together give a triangular number (35511 = T₂₆₆).

The spelling of 50737 in words is "fifty thousand, seven hundred thirty-seven".