51814 has 8 divisors (see below), whose sum is σ = 88848. Its totient is φ = 22200.

The previous prime is 51803. The next prime is 51817. The reversal of 51814 is 41815.

51814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 51791 and 51800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51817) 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, 1837 + ... + 1864.

It is an arithmetic number, because the mean of its divisors is an integer number (11106).

2⁵¹⁸¹⁴ is an apocalyptic number.

51814 is a deficient number, since it is larger than the sum of its proper divisors (37034).

51814 is a wasteful number, since it uses less digits than its factorization.

51814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710.

The product of its digits is 160, while the sum is 19.

The square root of 51814 is about 227.6268876912. The cubic root of 51814 is about 37.2805553835.

Subtracting from 51814 its reverse (41815), we obtain a palindrome (9999).

It can be divided in two parts, 51 and 814, that multiplied together give a palindrome (41514).

The spelling of 51814 in words is "fifty-one thousand, eight hundred fourteen".