83800827 has 24 divisors (see below), whose sum is σ = 134297280. Its totient is φ = 49924080.

The previous prime is 83800789. The next prime is 83800877. The reversal of 83800827 is 72800838.

It is not a de Polignac number, because 83800827 - 2¹⁸ = 83538683 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83800791 and 83800800.

It is not an unprimeable number, because it can be changed into a prime (83800877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1333 + ... + 13014.

It is an arithmetic number, because the mean of its divisors is an integer number (5595720).

Almost surely, 2^83800827 is an apocalyptic number.

83800827 is a deficient number, since it is larger than the sum of its proper divisors (50496453).

83800827 is a wasteful number, since it uses less digits than its factorization.

83800827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14423 (or 14420 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 83800827 is about 9154.2791633203. The cubic root of 83800827 is about 437.6054964095.

The spelling of 83800827 in words is "eighty-three million, eight hundred thousand, eight hundred twenty-seven".