417123 has 16 divisors (see below), whose sum is σ = 706560. Its totient is φ = 238248.

The previous prime is 417119. The next prime is 417127. The reversal of 417123 is 321714.

It is an interprime number because it is at equal distance from previous prime (417119) and next prime (417127).

It is not a de Polignac number, because 417123 - 2² = 417119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 417096 and 417105.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 417123.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 915 + ... + 1292.

It is an arithmetic number, because the mean of its divisors is an integer number (44160).

2⁴¹⁷¹²³ is an apocalyptic number.

417123 is a deficient number, since it is larger than the sum of its proper divisors (289437).

417123 is a wasteful number, since it uses less digits than its factorization.

417123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2217 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 417123 is about 645.8506019197. The cubic root of 417123 is about 74.7173360193.

Adding to 417123 its reverse (321714), we get a palindrome (738837).

The spelling of 417123 in words is "four hundred seventeen thousand, one hundred twenty-three", and thus it is an iban number.