214984134 has 48 divisors (see below), whose sum is σ = 494928720. Its totient is φ = 67314240.

The previous prime is 214984129. The next prime is 214984139. The reversal of 214984134 is 431489412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214984129) and next prime (214984139).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214984139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13749 + ... + 24879.

It is an arithmetic number, because the mean of its divisors is an integer number (10311015).

Almost surely, 2^214984134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214984134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247464360).

214984134 is an abundant number, since it is smaller than the sum of its proper divisors (279944586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214984134 is a wasteful number, since it uses less digits than its factorization.

214984134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11205 (or 11202 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 214984134 is about 14662.3372625240. The cubic root of 214984134 is about 599.0579048688.

The spelling of 214984134 in words is "two hundred fourteen million, nine hundred eighty-four thousand, one hundred thirty-four".