51937 has 4 divisors (see below), whose sum is σ = 52416. Its totient is φ = 51460.

The previous prime is 51929. The next prime is 51941. The reversal of 51937 is 73915.

51937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 73915 = 5 ⋅14783.

It is a cyclic number.

It is not a de Polignac number, because 51937 - 2³ = 51929 is a prime.

It is a Duffinian number.

51937 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (51907) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12 + ... + 322.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2⁵¹⁹³⁷ is an apocalyptic number.

It is an amenable number.

51937 is a deficient number, since it is larger than the sum of its proper divisors (479).

51937 is a wasteful number, since it uses less digits than its factorization.

51937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478.

The product of its digits is 945, while the sum is 25.

The square root of 51937 is about 227.8969065170. The cubic root of 51937 is about 37.3100318739.

The spelling of 51937 in words is "fifty-one thousand, nine hundred thirty-seven".