417121 has 4 divisors (see below), whose sum is σ = 418500. Its totient is φ = 415744.

The previous prime is 417119. The next prime is 417127. The reversal of 417121 is 121714.

417121 is nontrivially palindromic in base 8.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 102400 + 314721 = 320^2 + 561^2 .

It is a cyclic number.

It is not a de Polignac number, because 417121 - 2¹ = 417119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 417095 and 417104.

It is not an unprimeable number, because it can be changed into a prime (417127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16 + ... + 913.

It is an arithmetic number, because the mean of its divisors is an integer number (104625).

2⁴¹⁷¹²¹ is an apocalyptic number.

It is an amenable number.

417121 is a deficient number, since it is larger than the sum of its proper divisors (1379).

417121 is an equidigital number, since it uses as much as digits as its factorization.

417121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378.

The product of its digits is 56, while the sum is 16.

The square root of 417121 is about 645.8490535721. The cubic root of 417121 is about 74.7172166022.

Adding to 417121 its reverse (121714), we get a palindrome (538835).

The spelling of 417121 in words is "four hundred seventeen thousand, one hundred twenty-one", and thus it is an iban number.