6414 has 8 divisors (see below), whose sum is σ = 12840. Its totient is φ = 2136.

The previous prime is 6397. The next prime is 6421. The reversal of 6414 is 4146.

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

6414 is an admirable number.

It is a super-2 number, since 2×6414² = 82278792, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6393 and 6402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 529 + ... + 540.

It is an arithmetic number, because the mean of its divisors is an integer number (1605).

2⁶⁴¹⁴ is an apocalyptic number.

6414 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 (6420).

6414 is a wasteful number, since it uses less digits than its factorization.

6414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074.

The product of its digits is 96, while the sum is 15.

The square root of 6414 is about 80.0874522007. The cubic root of 6414 is about 18.5798834424.

It can be divided in two parts, 64 and 14, that added together give a triangular number (78 = T₁₂).

The spelling of 6414 in words is "six thousand, four hundred fourteen".