84170952 has 96 divisors (see below), whose sum is σ = 241063680. Its totient is φ = 26490240.

The previous prime is 84170941. The next prime is 84170959. The reversal of 84170952 is 25907148.

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

It is not an unprimeable number, because it can be changed into a prime (84170959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95538 + ... + 96414.

It is an arithmetic number, because the mean of its divisors is an integer number (2511080).

Almost surely, 2^84170952 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 84170952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120531840).

84170952 is an abundant number, since it is smaller than the sum of its proper divisors (156892728).

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

84170952 is a wasteful number, since it uses less digits than its factorization.

84170952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 84170952 is about 9174.4728458915. The cubic root of 84170952 is about 438.2488109071.

The spelling of 84170952 in words is "eighty-four million, one hundred seventy thousand, nine hundred fifty-two".