Search a number
-
+
17135897 = 232291117
BaseRepresentation
bin100000101011…
…1100100011001
31012020121000212
41001113210121
513341322042
61411140505
7265436612
oct101274431
935217025
1017135897
1197444a9
1258a4735
13371c8ac
1423c0c09
151787482
hex1057919

17135897 has 12 divisors (see below), whose sum is σ = 18547620. Its totient is φ = 15811488.

The previous prime is 17135863. The next prime is 17135903. The reversal of 17135897 is 79853171.

It can be written as a sum of positive squares in 2 ways, for example, as 4096576 + 13039321 = 2024^2 + 3611^2 .

It is not a de Polignac number, because 17135897 - 28 = 17135641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17135197) 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 11 ways as a sum of consecutive naturals, for example, 14783 + ... + 15899.

It is an arithmetic number, because the mean of its divisors is an integer number (1545635).

Almost surely, 217135897 is an apocalyptic number.

It is an amenable number.

17135897 is a deficient number, since it is larger than the sum of its proper divisors (1411723).

17135897 is a wasteful number, since it uses less digits than its factorization.

17135897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1169 counting only the distinct ones).

The product of its digits is 52920, while the sum is 41.

The square root of 17135897 is about 4139.5527536196. The cubic root of 17135897 is about 257.8114972254.

The spelling of 17135897 in words is "seventeen million, one hundred thirty-five thousand, eight hundred ninety-seven".

Divisors: 1 23 29 529 667 1117 15341 25691 32393 590893 745039 17135897