51714 has 36 divisors (see below), whose sum is σ = 128466. Its totient is φ = 14976.

The previous prime is 51713. The next prime is 51719. The reversal of 51714 is 41715.

51714 = T₁₆ + T₁₇ + ... + T₆₇.

It can be written as a sum of positive squares in 3 ways, for example, as 33489 + 18225 = 183^2 + 135^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (140) is a multiple of the sum of its prime divisors (35).

It is a plaindrome in base 14.

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 51714.

It is not an unprimeable number, because it can be changed into a prime (51713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3034 + ... + 3050.

2⁵¹⁷¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64233).

51714 is an abundant number, since it is smaller than the sum of its proper divisors (76752).

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

51714 is a wasteful number, since it uses less digits than its factorization.

51714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 35 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 51714 is about 227.4071238990. The cubic root of 51714 is about 37.2565563584.

Subtracting from 51714 its reverse (41715), we obtain a palindrome (9999).

The spelling of 51714 in words is "fifty-one thousand, seven hundred fourteen".