84013000 has 64 divisors (see below), whose sum is σ = 203439600. Its totient is φ = 32435200.

The previous prime is 84012989. The next prime is 84013009. The reversal of 84013000 is 31048.

It can be written as a sum of positive squares in 8 ways, for example, as 70756 + 83942244 = 266^2 + 9162^2 .

It is not an unprimeable number, because it can be changed into a prime (84013009) 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, 27552 + ... + 30448.

Almost surely, 2^84013000 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 84013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101719800).

84013000 is an abundant number, since it is smaller than the sum of its proper divisors (119426600).

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

84013000 is a wasteful number, since it uses less digits than its factorization.

84013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 84013000 is about 9165.8605706175. The cubic root of 84013000 is about 437.9745055809.

Adding to 84013000 its reverse (31048), we get a palindrome (84044048).

The spelling of 84013000 in words is "eighty-four million, thirteen thousand".