84107844 has 36 divisors (see below), whose sum is σ = 212890860. Its totient is φ = 27998400.

The previous prime is 84107839. The next prime is 84107861. The reversal of 84107844 is 44870148.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 49533444 + 34574400 = 7038^2 + 5880^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 84107799 and 84107808.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43294 + ... + 45194.

It is an arithmetic number, because the mean of its divisors is an integer number (5913635).

Almost surely, 2^84107844 is an apocalyptic number.

It is an amenable number.

84107844 is an abundant number, since it is smaller than the sum of its proper divisors (128783016).

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

84107844 is a wasteful number, since it uses less digits than its factorization.

84107844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 84107844 is about 9171.0328753091. The cubic root of 84107844 is about 438.1392564024.

Subtracting from 84107844 its reverse (44870148), we obtain a square (39237696 = 6264²).

It can be divided in two parts, 84 and 107844, that multiplied together give a triangular number (9058896 = T₄₂₅₆).

The spelling of 84107844 in words is "eighty-four million, one hundred seven thousand, eight hundred forty-four".