51414 has 32 divisors (see below), whose sum is σ = 120960. Its totient is φ = 14400.

The previous prime is 51413. The next prime is 51419. The reversal of 51414 is 41415.

51414 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 51393 and 51402.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51414.

It is not an unprimeable number, because it can be changed into a prime (51413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1234 + ... + 1274.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁵¹⁴¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

51414 is an abundant number, since it is smaller than the sum of its proper divisors (69546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51414 is a wasteful number, since it uses less digits than its factorization.

51414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76.

The product of its digits is 80, while the sum is 15.

The square root of 51414 is about 226.7465545493. The cubic root of 51414 is about 37.1843731335.

Adding to 51414 its reverse (41415), we get a palindrome (92829).

Subtracting from 51414 its reverse (41415), we obtain a palindrome (9999).

It can be divided in two parts, 514 and 14, that added together give a triangular number (528 = T₃₂).

The spelling of 51414 in words is "fifty-one thousand, four hundred fourteen".