84383712 has 144 divisors (see below), whose sum is σ = 288812160. Its totient is φ = 22830336.

The previous prime is 84383701. The next prime is 84383723. The reversal of 84383712 is 21738348.

It is an interprime number because it is at equal distance from previous prime (84383701) and next prime (84383723).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×84383712² = 14241221701797888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 37203 + ... + 39405.

It is an arithmetic number, because the mean of its divisors is an integer number (2005640).

Almost surely, 2^84383712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84383712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144406080).

84383712 is an abundant number, since it is smaller than the sum of its proper divisors (204428448).

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

84383712 is a wasteful number, since it uses less digits than its factorization.

84383712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2234 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 84383712 is about 9186.0607444105. The cubic root of 84383712 is about 438.6177559413.

The spelling of 84383712 in words is "eighty-four million, three hundred eighty-three thousand, seven hundred twelve".