84413100 has 72 divisors (see below), whose sum is σ = 248890320. Its totient is φ = 22081280.

The previous prime is 84413083. The next prime is 84413117. The reversal of 84413100 is 131448.

It is an interprime number because it is at equal distance from previous prime (84413083) and next prime (84413117).

It is a super-2 number, since 2×84413100² = 14251142903220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13246 + ... + 18554.

It is an arithmetic number, because the mean of its divisors is an integer number (3456810).

Almost surely, 2^84413100 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 84413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124445160).

84413100 is an abundant number, since it is smaller than the sum of its proper divisors (164477220).

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

84413100 is a wasteful number, since it uses less digits than its factorization.

84413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 84413100 is about 9187.6602026849. The cubic root of 84413100 is about 438.6686686202.

Adding to 84413100 its reverse (131448), we get a palindrome (84544548).

The spelling of 84413100 in words is "eighty-four million, four hundred thirteen thousand, one hundred".