11205017 has 2 divisors, whose sum is σ = 11205018. Its totient is φ = 11205016.

The previous prime is 11204993. The next prime is 11205031. The reversal of 11205017 is 71050211.

11205017 is digitally balanced in base 3, 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., 9803161 + 1401856 = 3131^2 + 1184^2 .

It is an emirp because it is prime and its reverse (71050211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11205017 - 2⁶ = 11204953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11204986 and 11205004.

It is not a weakly prime, because it can be changed into another prime (11205067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5602508 + 5602509.

It is an arithmetic number, because the mean of its divisors is an integer number (5602509).

Almost surely, 2^11205017 is an apocalyptic number.

It is an amenable number.

11205017 is a deficient number, since it is larger than the sum of its proper divisors (1).

11205017 is an equidigital number, since it uses as much as digits as its factorization.

11205017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 11205017 is about 3347.3895799563. The cubic root of 11205017 is about 223.7711909437.

Adding to 11205017 its reverse (71050211), we get a palindrome (82255228).

The spelling of 11205017 in words is "eleven million, two hundred five thousand, seventeen".