83605284 has 120 divisors (see below), whose sum is σ = 252392448. Its totient is φ = 23639040.

The previous prime is 83605283. The next prime is 83605297. The reversal of 83605284 is 48250638.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (83605283) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 433092 + ... + 433284.

Almost surely, 2^83605284 is an apocalyptic number.

83605284 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83605284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126196224).

83605284 is an abundant number, since it is smaller than the sum of its proper divisors (168787164).

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

83605284 is a wasteful number, since it uses less digits than its factorization.

83605284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 83605284 is about 9143.5925106054. The cubic root of 83605284 is about 437.2648580225.

The spelling of 83605284 in words is "eighty-three million, six hundred five thousand, two hundred eighty-four".