83075232 has 48 divisors (see below), whose sum is σ = 219451680. Its totient is φ = 27516672.

The previous prime is 83075231. The next prime is 83075261. The reversal of 83075232 is 23257038.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 83075232.

It is not an unprimeable number, because it can be changed into a prime (83075231) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12994 + ... + 18302.

It is an arithmetic number, because the mean of its divisors is an integer number (4571910).

Almost surely, 2^83075232 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 83075232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109725840).

83075232 is an abundant number, since it is smaller than the sum of its proper divisors (136376448).

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

83075232 is a wasteful number, since it uses less digits than its factorization.

83075232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 83075232 is about 9114.5615363549. The cubic root of 83075232 is about 436.3388214424.

The spelling of 83075232 in words is "eighty-three million, seventy-five thousand, two hundred thirty-two".