84414 has 16 divisors (see below), whose sum is σ = 184320. Its totient is φ = 25560.

The previous prime is 84407. The next prime is 84421. The reversal of 84414 is 41448.

It is an interprime number because it is at equal distance from previous prime (84407) and next prime (84421).

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84414.

It is an unprimeable number.

84414 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 574 + ... + 705.

It is an arithmetic number, because the mean of its divisors is an integer number (11520).

2⁸⁴⁴¹⁴ is an apocalyptic number.

84414 is an abundant number, since it is smaller than the sum of its proper divisors (99906).

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 (92160).

84414 is a wasteful number, since it uses less digits than its factorization.

84414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295.

The product of its digits is 512, while the sum is 21.

The square root of 84414 is about 290.5408749212. The cubic root of 84414 is about 43.8670227622.

It can be divided in two parts, 844 and 14, that added together give a palindrome (858).

The spelling of 84414 in words is "eighty-four thousand, four hundred fourteen".