6214 has 8 divisors (see below), whose sum is σ = 10080. Its totient is φ = 2856.

The previous prime is 6211. The next prime is 6217. The reversal of 6214 is 4126.

It can be divided in two parts, 621 and 4, that added together give a 4-th power (625 = 5^{4}).

6214 = T_{26} + T_{27} + ... +
T_{37}.

It is an interprime number because it is at equal distance from previous prime (6211) and next prime (6217).

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

It is a super-2 number, since 2×6214^{2} = 77227592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a plaindrome in base 14.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 6194 and 6203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6211) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 94 + ... + 145.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2^{6214} is an apocalyptic number.

6214 is a deficient number, since it is larger than the sum of its proper divisors (3866).

6214 is a wasteful number, since it uses less digits than its factorization.

6214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254.

The product of its digits is 48, while the sum is 13.

The square root of 6214 is about 78.8289287001. The cubic root of 6214 is about 18.3847226686.

The spelling of 6214 in words is "six thousand, two hundred fourteen".

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