42714 has 32 divisors (see below), whose sum is σ = 109440. Its totient is φ = 12096.

The previous prime is 42709. The next prime is 42719. The reversal of 42714 is 41724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42709) and next prime (42719).

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

42714 is an undulating number in base 15.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42719) by changing a digit.

42714 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 15 ways as a sum of consecutive naturals, for example, 322 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

2⁴²⁷¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54720).

42714 is an abundant number, since it is smaller than the sum of its proper divisors (66726).

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

42714 is a wasteful number, since it uses less digits than its factorization.

42714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 42714 is about 206.6736557958. The cubic root of 42714 is about 34.9561355251.

Subtracting from 42714 its reverse (41724), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 427 and 14, that added together give a square (441 = 21²).

The spelling of 42714 in words is "forty-two thousand, seven hundred fourteen", and thus it is an iban number.