16417 has 2 divisors, whose sum is σ = 16418. Its totient is φ = 16416.

The previous prime is 16411. The next prime is 16421. The reversal of 16417 is 71461.

Adding to 16417 its reverse (71461), we get a palindrome (87878).

It can be divided in two parts, 164 and 17, that added together give a palindrome (181).

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12321 + 4096 = 111^2 + 64^2 .

It is a cyclic number.

It is not a de Polignac number, because 16417 - 2^{11} = 14369 is a prime.

16417 is a lucky number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 16394 and 16403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (16411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8208 + 8209.

It is an arithmetic number, because the mean of its divisors is an integer number (8209).

2^{16417} is an apocalyptic number.

It is an amenable number.

16417 is a deficient number, since it is larger than the sum of its proper divisors (1).

16417 is an equidigital number, since it uses as much as digits as its factorization.

16417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 168, while the sum is 19.

The square root of 16417 is about 128.1288414058. The cubic root of 16417 is about 25.4154575554.

The spelling of 16417 in words is "sixteen thousand, four hundred seventeen".

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