83484300 has 72 divisors (see below), whose sum is σ = 242487952. Its totient is φ = 22176000.

The previous prime is 83484293. The next prime is 83484307. The reversal of 83484300 is 348438.

It is an interprime number because it is at equal distance from previous prime (83484293) and next prime (83484307).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (83484307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125970 + ... + 126630.

Almost surely, 2^83484300 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 83484300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121243976).

83484300 is an abundant number, since it is smaller than the sum of its proper divisors (159003652).

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

83484300 is a wasteful number, since it uses less digits than its factorization.

83484300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 83484300 is about 9136.9743350849. The cubic root of 83484300 is about 437.0538363122.

The spelling of 83484300 in words is "eighty-three million, four hundred eighty-four thousand, three hundred".