45714 has 16 divisors (see below), whose sum is σ = 96480. Its totient is φ = 14400.

The previous prime is 45707. The next prime is 45737. The reversal of 45714 is 41754.

It is a plaindrome in base 12.

It is an unprimeable number.

45714 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87 + ... + 314.

It is an arithmetic number, because the mean of its divisors is an integer number (6030).

2⁴⁵⁷¹⁴ is an apocalyptic number.

45714 is an abundant number, since it is smaller than the sum of its proper divisors (50766).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48240).

45714 is a wasteful number, since it uses less digits than its factorization.

45714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425.

The product of its digits is 560, while the sum is 21.

The square root of 45714 is about 213.8083253758. The cubic root of 45714 is about 35.7560669117.

Subtracting from 45714 its product of digits (560), we obtain a palindrome (45154).

The spelling of 45714 in words is "forty-five thousand, seven hundred fourteen".