83775104 has 144 divisors (see below), whose sum is σ = 210437730. Its totient is φ = 33094656.

The previous prime is 83775091. The next prime is 83775127. The reversal of 83775104 is 40157738.

It can be written as a sum of positive squares in only one way, i.e., 55472704 + 28302400 = 7448^2 + 5320^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2264174 + ... + 2264210.

Almost surely, 2^83775104 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 83775104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105218865).

83775104 is an abundant number, since it is smaller than the sum of its proper divisors (126662626).

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

83775104 is a wasteful number, since it uses less digits than its factorization.

83775104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 83775104 is about 9152.8740841334. The cubic root of 83775104 is about 437.5607169066.

The spelling of 83775104 in words is "eighty-three million, seven hundred seventy-five thousand, one hundred four".