83349882 has 144 divisors (see below), whose sum is σ = 234321984. Its totient is φ = 21344400.

The previous prime is 83349881. The next prime is 83349883. The reversal of 83349882 is 28894338.

83349882 = T₃₂₈ + T₃₂₉ + ... + T₈₁₁.

83349882 is a `hidden beast` number, since 83 + 3 + 498 + 82 = 666.

It is an interprime number because it is at equal distance from previous prime (83349881) and next prime (83349883).

It is not an unprimeable number, because it can be changed into a prime (83349881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1173907 + ... + 1173977.

It is an arithmetic number, because the mean of its divisors is an integer number (1627236).

Almost surely, 2^83349882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83349882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117160992).

83349882 is an abundant number, since it is smaller than the sum of its proper divisors (150972102).

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

83349882 is a wasteful number, since it uses less digits than its factorization.

83349882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 94 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 83349882 is about 9129.6156545607. The cubic root of 83349882 is about 436.8191436383.

The spelling of 83349882 in words is "eighty-three million, three hundred forty-nine thousand, eight hundred eighty-two".