84214 has 16 divisors (see below), whose sum is σ = 141120. Its totient is φ = 37440.

The previous prime is 84211. The next prime is 84221. The reversal of 84214 is 41248.

It is a junction number, because it is equal to n+sod(n) for n = 84191 and 84200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1027 + ... + 1105.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2⁸⁴²¹⁴ is an apocalyptic number.

84214 is a deficient number, since it is larger than the sum of its proper divisors (56906).

84214 is a wasteful number, since it uses less digits than its factorization.

84214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135.

The product of its digits is 256, while the sum is 19.

The square root of 84214 is about 290.1964851613. The cubic root of 84214 is about 43.8323510151.

The spelling of 84214 in words is "eighty-four thousand, two hundred fourteen".