84321006 has 64 divisors (see below), whose sum is σ = 211438080. Its totient is φ = 21778560.

The previous prime is 84321001. The next prime is 84321011. The reversal of 84321006 is 60012348.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84321001) and next prime (84321011).

It is a super-2 number, since 2×84321006² = 14220064105704072, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84321001) 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 31 ways as a sum of consecutive naturals, for example, 105400 + ... + 106196.

It is an arithmetic number, because the mean of its divisors is an integer number (3303720).

Almost surely, 2^84321006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84321006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105719040).

84321006 is an abundant number, since it is smaller than the sum of its proper divisors (127117074).

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

84321006 is a wasteful number, since it uses less digits than its factorization.

84321006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 84321006 is about 9182.6470039962. The cubic root of 84321006 is about 438.5090825969.

The spelling of 84321006 in words is "eighty-four million, three hundred twenty-one thousand, six".