820201327 has 16 divisors (see below), whose sum is σ = 904361472. Its totient is φ = 737680320.

The previous prime is 820201289. The next prime is 820201387. The reversal of 820201327 is 723102028.

It is a cyclic number.

It is not a de Polignac number, because 820201327 - 2¹¹ = 820199279 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820201387) 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 15 ways as a sum of consecutive naturals, for example, 552328 + ... + 553810.

It is an arithmetic number, because the mean of its divisors is an integer number (56522592).

Almost surely, 2^820201327 is an apocalyptic number.

820201327 is a deficient number, since it is larger than the sum of its proper divisors (84160145).

820201327 is a wasteful number, since it uses less digits than its factorization.

820201327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 820201327 is about 28639.1572327120. The cubic root of 820201327 is about 936.0667577090.

The spelling of 820201327 in words is "eight hundred twenty million, two hundred one thousand, three hundred twenty-seven".