83214414 has 96 divisors (see below), whose sum is σ = 202176000. Its totient is φ = 24615360.

The previous prime is 83214409. The next prime is 83214419. The reversal of 83214414 is 41441238.

It is an interprime number because it is at equal distance from previous prime (83214409) and next prime (83214419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83214419) 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 47 ways as a sum of consecutive naturals, for example, 558412 + ... + 558560.

It is an arithmetic number, because the mean of its divisors is an integer number (2106000).

Almost surely, 2^83214414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83214414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101088000).

83214414 is an abundant number, since it is smaller than the sum of its proper divisors (118961586).

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

83214414 is a wasteful number, since it uses less digits than its factorization.

83214414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 267 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 83214414 is about 9122.1934862181. The cubic root of 83214414 is about 436.5823622447.

The spelling of 83214414 in words is "eighty-three million, two hundred fourteen thousand, four hundred fourteen".