83730036 has 144 divisors (see below), whose sum is σ = 232424640. Its totient is φ = 23362560.

The previous prime is 83730019. The next prime is 83730037. The reversal of 83730036 is 63003738.

It is a happy number.

It is a super-2 number, since 2×83730036² = 14021437857122592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83729985 and 83730012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83730037) 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 47 ways as a sum of consecutive naturals, for example, 1579786 + ... + 1579838.

It is an arithmetic number, because the mean of its divisors is an integer number (1614060).

Almost surely, 2^83730036 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 83730036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116212320).

83730036 is an abundant number, since it is smaller than the sum of its proper divisors (148694604).

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

83730036 is a wasteful number, since it uses less digits than its factorization.

83730036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 83730036 is about 9150.4117940123. The cubic root of 83730036 is about 437.4822388436.

The spelling of 83730036 in words is "eighty-three million, seven hundred thirty thousand, thirty-six".