201564017 has 2 divisors, whose sum is σ = 201564018. Its totient is φ = 201564016.

The previous prime is 201563993. The next prime is 201564029. The reversal of 201564017 is 710465102.

201564017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188897536 + 12666481 = 13744^2 + 3559^2 .

It is a cyclic number.

It is not a de Polignac number, because 201564017 - 2¹⁸ = 201301873 is a prime.

It is not a weakly prime, because it can be changed into another prime (201564817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100782008 + 100782009.

It is an arithmetic number, because the mean of its divisors is an integer number (100782009).

Almost surely, 2^201564017 is an apocalyptic number.

It is an amenable number.

201564017 is a deficient number, since it is larger than the sum of its proper divisors (1).

201564017 is an equidigital number, since it uses as much as digits as its factorization.

201564017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 201564017 is about 14197.3242901612. The cubic root of 201564017 is about 586.3239956427.

The spelling of 201564017 in words is "two hundred one million, five hundred sixty-four thousand, seventeen".