84973152 has 96 divisors (see below), whose sum is σ = 247169664. Its totient is φ = 25344000.

The previous prime is 84973129. The next prime is 84973153. The reversal of 84973152 is 25137948.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 84973152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84973153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70152 + ... + 71352.

It is an arithmetic number, because the mean of its divisors is an integer number (2574684).

Almost surely, 2^84973152 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 84973152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123584832).

84973152 is an abundant number, since it is smaller than the sum of its proper divisors (162196512).

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

84973152 is a wasteful number, since it uses less digits than its factorization.

84973152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1284 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 84973152 is about 9218.0883050663. The cubic root of 84973152 is about 439.6366697594.

The spelling of 84973152 in words is "eighty-four million, nine hundred seventy-three thousand, one hundred fifty-two".