1417104 has 60 divisors (see below), whose sum is σ = 4276636. Its totient is φ = 435456.

The previous prime is 1417093. The next prime is 1417123. The reversal of 1417104 is 4017141.

It can be written as a sum of positive squares in 2 ways, for example, as 518400 + 898704 = 720^2 + 948^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1494 + ... + 2250.

2^1417104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1417104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138318).

1417104 is an abundant number, since it is smaller than the sum of its proper divisors (2859532).

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

1417104 is a wasteful number, since it uses less digits than its factorization.

1417104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1417104 is about 1190.4217739944. The cubic root of 1417104 is about 112.3226241869.

Subtracting from 1417104 its sum of digits (18), we obtain a triangular number (1417086 = T₁₆₈₃).

It can be divided in two parts, 1417 and 104, that added together give a square (1521 = 39²).

The spelling of 1417104 in words is "one million, four hundred seventeen thousand, one hundred four".