84141414 has 48 divisors (see below), whose sum is σ = 211481088. Its totient is φ = 23679216.

The previous prime is 84141413. The next prime is 84141419. The reversal of 84141414 is 41414148.

84141414 is a modest number, since divided by 141414 gives 84 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84141413) 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, 3459 + ... + 13425.

It is an arithmetic number, because the mean of its divisors is an integer number (4405856).

Almost surely, 2^84141414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84141414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105740544).

84141414 is an abundant number, since it is smaller than the sum of its proper divisors (127339674).

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

84141414 is a wasteful number, since it uses less digits than its factorization.

84141414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10049 (or 10046 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 84141414 is about 9172.8629118722. The cubic root of 84141414 is about 438.1975402188.

The spelling of 84141414 in words is "eighty-four million, one hundred forty-one thousand, four hundred fourteen".