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714 = 23717

• 714 can be written using four 4's:

See also 113.
714 has 16 divisors (see below), whose sum is σ = 1728. Its totient is φ = 192.

The previous prime is 709. The next prime is 719. The reversal of 714 is 417.

714 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (709) and next prime (719).

714 is strictly pandigital in base 5.

It is a Curzon number.

It is a plaindrome in base 11.

It is a nialpdrome in base 3 and base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 714.

It is not an unprimeable number, because it can be changed into a prime (719) by changing a digit.

714 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34 + ... + 50.

It is an arithmetic number, because the mean of its divisors is an integer number (108).

2714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864).

714 is an abundant number, since it is smaller than the sum of its proper divisors (1014).

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

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

With its successor (715) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (29).

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

The sum of its prime factors is 29.

The product of its digits is 28, while the sum is 12.

The square root of 714 is about 26.7207784318. The cubic root of 714 is about 8.9378433206.

Subtracting from 714 its product of digits (28), we obtain a palindrome (686).

It can be divided in two parts, 7 and 14, that added together give a triangular number (21 = T6).

The spelling of 714 in words is "seven hundred fourteen", and thus it is an aban number and an iban number.

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714