84146972 has 96 divisors (see below), whose sum is σ = 199449600. Its totient is φ = 30165696.

The previous prime is 84146971. The next prime is 84146981. The reversal of 84146972 is 27964148.

Its product of digits (96768) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84146971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3658553 + ... + 3658575.

It is an arithmetic number, because the mean of its divisors is an integer number (2077600).

Almost surely, 2^84146972 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 84146972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99724800).

84146972 is an abundant number, since it is smaller than the sum of its proper divisors (115302628).

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

84146972 is a wasteful number, since it uses less digits than its factorization.

84146972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 64 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 84146972 is about 9173.1658657194. The cubic root of 84146972 is about 438.2071884534.

The spelling of 84146972 in words is "eighty-four million, one hundred forty-six thousand, nine hundred seventy-two".