417138 has 16 divisors (see below), whose sum is σ = 857280. Its totient is φ = 135216.

The previous prime is 417133. The next prime is 417161. The reversal of 417138 is 831714.

417138 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×417138² = 348008222088, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (417133) 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 7 ways as a sum of consecutive naturals, for example, 718 + ... + 1161.

It is an arithmetic number, because the mean of its divisors is an integer number (53580).

2⁴¹⁷¹³⁸ is an apocalyptic number.

417138 is an abundant number, since it is smaller than the sum of its proper divisors (440142).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

417138 is a wasteful number, since it uses less digits than its factorization.

417138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921.

The product of its digits is 672, while the sum is 24.

The square root of 417138 is about 645.8622144080. The cubic root of 417138 is about 74.7182316357.

It can be divided in two parts, 417 and 138, that added together give a palindrome (555).

The spelling of 417138 in words is "four hundred seventeen thousand, one hundred thirty-eight".