84401538 has 32 divisors (see below), whose sum is σ = 183992256. Its totient is φ = 25654848.

The previous prime is 84401521. The next prime is 84401539. The reversal of 84401538 is 83510448.

It is a super-3 number, since 3×84401538³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 84401499 and 84401508.

It is not an unprimeable number, because it can be changed into a prime (84401539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45 + ... + 12992.

It is an arithmetic number, because the mean of its divisors is an integer number (5749758).

Almost surely, 2^84401538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84401538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91996128).

84401538 is an abundant number, since it is smaller than the sum of its proper divisors (99590718).

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

84401538 is a wasteful number, since it uses less digits than its factorization.

84401538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13138.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 84401538 is about 9187.0309676195. The cubic root of 84401538 is about 438.6486396645.

The spelling of 84401538 in words is "eighty-four million, four hundred one thousand, five hundred thirty-eight".