331783201 has 2 divisors, whose sum is σ = 331783202. Its totient is φ = 331783200.

The previous prime is 331783183. The next prime is 331783223. The reversal of 331783201 is 102387133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 248882176 + 82901025 = 15776^2 + 9105^2 .

It is an emirp because it is prime and its reverse (102387133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331783201 - 2¹⁷ = 331652129 is a prime.

It is a super-2 number, since 2×331783201² = 220160184931612802, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331783201.

It is not a weakly prime, because it can be changed into another prime (331783241) 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, 165891600 + 165891601.

It is an arithmetic number, because the mean of its divisors is an integer number (165891601).

Almost surely, 2^331783201 is an apocalyptic number.

It is an amenable number.

331783201 is a deficient number, since it is larger than the sum of its proper divisors (1).

331783201 is an equidigital number, since it uses as much as digits as its factorization.

331783201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 331783201 is about 18214.9169913014. The cubic root of 331783201 is about 692.2848022179.

Adding to 331783201 its product of nonzero digits (3024), we get a square (331786225 = 18215²).

The spelling of 331783201 in words is "three hundred thirty-one million, seven hundred eighty-three thousand, two hundred one".