51338 has 16 divisors (see below), whose sum is σ = 93120. Its totient is φ = 20736.

The previous prime is 51329. The next prime is 51341. The reversal of 51338 is 83315.

51338 is nontrivially palindromic in base 13.

It is a Curzon number.

It is an unprimeable number.

51338 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170 + ... + 362.

It is an arithmetic number, because the mean of its divisors is an integer number (5820).

2⁵¹³³⁸ is an apocalyptic number.

51338 is a deficient number, since it is larger than the sum of its proper divisors (41782).

51338 is a wasteful number, since it uses less digits than its factorization.

51338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221.

The product of its digits is 360, while the sum is 20.

The square root of 51338 is about 226.5789045785. The cubic root of 51338 is about 37.1660421603.

The spelling of 51338 in words is "fifty-one thousand, three hundred thirty-eight".