83166084 has 72 divisors (see below), whose sum is σ = 223455960. Its totient is φ = 26030592.

The previous prime is 83166073. The next prime is 83166107. The reversal of 83166084 is 48066138.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11289600 + 71876484 = 3360^2 + 8478^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37552 + ... + 39704.

It is an arithmetic number, because the mean of its divisors is an integer number (3103555).

Almost surely, 2^83166084 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 83166084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111727980).

83166084 is an abundant number, since it is smaller than the sum of its proper divisors (140289876).

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

83166084 is a wasteful number, since it uses less digits than its factorization.

83166084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83166084 is about 9119.5440675507. The cubic root of 83166084 is about 436.4978251605.

It can be divided in two parts, 831660 and 84, that added together give a square (831744 = 912²).

The spelling of 83166084 in words is "eighty-three million, one hundred sixty-six thousand, eighty-four".