17113120 has 24 divisors (see below), whose sum is σ = 40430124. Its totient is φ = 6845184.

The previous prime is 17113099. The next prime is 17113139. The reversal of 17113120 is 2131171.

It can be written as a sum of positive squares in 2 ways, for example, as 15776784 + 1336336 = 3972^2 + 1156^2 .

It is a super-2 number, since 2×17113120² = 585717752268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 17113094 and 17113103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53319 + ... + 53638.

Almost surely, 2^17113120 is an apocalyptic number.

17113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17113120 is an abundant number, since it is smaller than the sum of its proper divisors (23317004).

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

17113120 is a wasteful number, since it uses less digits than its factorization.

17113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106972 (or 106964 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 17113120 is about 4136.8006961902. The cubic root of 17113120 is about 257.6972190689.

Adding to 17113120 its reverse (2131171), we get a palindrome (19244291).

The spelling of 17113120 in words is "seventeen million, one hundred thirteen thousand, one hundred twenty".