417161 has 2 divisors, whose sum is σ = 417162. Its totient is φ = 417160.

The previous prime is 417133. The next prime is 417169. The reversal of 417161 is 161714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 384400 + 32761 = 620^2 + 181^2 .

It is a cyclic number.

It is not a de Polignac number, because 417161 - 2⁶ = 417097 is a prime.

It is not a weakly prime, because it can be changed into another prime (417169) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208580 + 208581.

It is an arithmetic number, because the mean of its divisors is an integer number (208581).

2⁴¹⁷¹⁶¹ is an apocalyptic number.

It is an amenable number.

417161 is a deficient number, since it is larger than the sum of its proper divisors (1).

417161 is an equidigital number, since it uses as much as digits as its factorization.

417161 is an evil number, because the sum of its binary digits is even.

The product of its digits is 168, while the sum is 20.

The square root of 417161 is about 645.8800198179. The cubic root of 417161 is about 74.7196048725.

Adding to 417161 its reverse (161714), we get a palindrome (578875).

It can be divided in two parts, 4 and 17161, that multiplied together give a square (68644 = 262²).

The spelling of 417161 in words is "four hundred seventeen thousand, one hundred sixty-one".