83001827 has 2 divisors, whose sum is σ = 83001828. Its totient is φ = 83001826.

The previous prime is 83001797. The next prime is 83001847. The reversal of 83001827 is 72810038.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 83001827 - 2¹⁰ = 83000803 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83001827.

It is not a weakly prime, because it can be changed into another prime (83001847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41500913 + 41500914.

It is an arithmetic number, because the mean of its divisors is an integer number (41500914).

Almost surely, 2^83001827 is an apocalyptic number.

83001827 is a deficient number, since it is larger than the sum of its proper divisors (1).

83001827 is an equidigital number, since it uses as much as digits as its factorization.

83001827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 83001827 is about 9110.5338482440. The cubic root of 83001827 is about 436.2102677257.

The spelling of 83001827 in words is "eighty-three million, one thousand, eight hundred twenty-seven".