51337 has 8 divisors (see below), whose sum is σ = 60480. Its totient is φ = 42960.

The previous prime is 51329. The next prime is 51341. The reversal of 51337 is 73315.

It is the 93-rd star number.

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 51337 - 2³ = 51329 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (51307) 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, 37 + ... + 322.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁵¹³³⁷ is an apocalyptic number.

It is an amenable number.

51337 is a deficient number, since it is larger than the sum of its proper divisors (9143).

51337 is a wasteful number, since it uses less digits than its factorization.

51337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383.

The product of its digits is 315, while the sum is 19.

The square root of 51337 is about 226.5766978310. The cubic root of 51337 is about 37.1658008427.

It can be divided in two parts, 513 and 37, that multiplied together give a palindrome (18981).

The spelling of 51337 in words is "fifty-one thousand, three hundred thirty-seven".