7914 has 8 divisors (see below), whose sum is σ = 15840. Its totient is φ = 2636.

The previous prime is 7907. The next prime is 7919. The reversal of 7914 is 4197.

It is a sphenic number, since it is the product of 3 distinct primes.

7914 is an admirable number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (7919) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 654 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (1980).

2⁷⁹¹⁴ is an apocalyptic number.

7914 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (7920).

7914 is a wasteful number, since it uses less digits than its factorization.

7914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324.

The product of its digits is 252, while the sum is 21.

The square root of 7914 is about 88.9606654651. The cubic root of 7914 is about 19.9280749830.

The spelling of 7914 in words is "seven thousand, nine hundred fourteen".