84122148 has 48 divisors (see below), whose sum is σ = 215066880. Its totient is φ = 25380000.

The previous prime is 84122131. The next prime is 84122153.

84122148 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31863 + ... + 34401.

It is an arithmetic number, because the mean of its divisors is an integer number (4480560).

Almost surely, 2^84122148 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 84122148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533440).

84122148 is an abundant number, since it is smaller than the sum of its proper divisors (130944732).

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

84122148 is a wasteful number, since it uses less digits than its factorization.

84122148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2806 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 84122148 is about 9171.8126888854. The cubic root of 84122148 is about 438.1640927251.

The spelling of 84122148 in words is "eighty-four million, one hundred twenty-two thousand, one hundred forty-eight".