83835306 has 24 divisors (see below), whose sum is σ = 181814724. Its totient is φ = 27918720.

The previous prime is 83835287. The next prime is 83835307. The reversal of 83835306 is 60353838.

It can be written as a sum of positive squares in 2 ways, for example, as 81162081 + 2673225 = 9009^2 + 1635^2 .

It is a super-2 number, since 2×83835306² = 14056717064227272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83835307) 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 11 ways as a sum of consecutive naturals, for example, 30676 + ... + 33296.

Almost surely, 2^83835306 is an apocalyptic number.

83835306 is an abundant number, since it is smaller than the sum of its proper divisors (97979418).

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

83835306 is a wasteful number, since it uses less digits than its factorization.

83835306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 83835306 is about 9156.1621872922. The cubic root of 83835306 is about 437.6655042941.

It can be divided in two parts, 8383 and 5306, that added together give a square (13689 = 117²).

The spelling of 83835306 in words is "eighty-three million, eight hundred thirty-five thousand, three hundred six".