83733790 has 64 divisors (see below), whose sum is σ = 181813248. Its totient is φ = 27158400.

The previous prime is 83733787. The next prime is 83733841. The reversal of 83733790 is 9733738.

It is a super-2 number, since 2×83733790² = 14022695175528200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 101580 + ... + 102400.

It is an arithmetic number, because the mean of its divisors is an integer number (2840832).

Almost surely, 2^83733790 is an apocalyptic number.

83733790 is an abundant number, since it is smaller than the sum of its proper divisors (98079458).

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

83733790 is a wasteful number, since it uses less digits than its factorization.

83733790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913.

The product of its (nonzero) digits is 95256, while the sum is 40.

The square root of 83733790 is about 9150.6169190935. The cubic root of 83733790 is about 437.4887768550.

The spelling of 83733790 in words is "eighty-three million, seven hundred thirty-three thousand, seven hundred ninety".