412567201 has 2 divisors, whose sum is σ = 412567202. Its totient is φ = 412567200.

The previous prime is 412567157. The next prime is 412567213. The reversal of 412567201 is 102765214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 410467600 + 2099601 = 20260^2 + 1449^2 .

It is a cyclic number.

It is not a de Polignac number, because 412567201 - 2⁷ = 412567073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 412567201.

It is not a weakly prime, because it can be changed into another prime (412567901) 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, 206283600 + 206283601.

It is an arithmetic number, because the mean of its divisors is an integer number (206283601).

Almost surely, 2^412567201 is an apocalyptic number.

It is an amenable number.

412567201 is a deficient number, since it is larger than the sum of its proper divisors (1).

412567201 is an equidigital number, since it uses as much as digits as its factorization.

412567201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 412567201 is about 20311.7503184733. The cubic root of 412567201 is about 744.4431982100.

The spelling of 412567201 in words is "four hundred twelve million, five hundred sixty-seven thousand, two hundred one".