Search a number
-
+
13097161 = 72112472
BaseRepresentation
bin110001111101…
…100011001001
3220122101221001
4301331203021
511323102121
61144415001
7216216100
oct61754311
926571831
1013097161
117436100
124477461
1329374cc
141a4d037
15123a991
hexc7d8c9

13097161 has 27 divisors (see below), whose sum is σ = 17110317. Its totient is φ = 9988440.

The previous prime is 13097153. The next prime is 13097177. The reversal of 13097161 is 16179031.

The square root of 13097161 is 3619.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 13097161 - 23 = 13097153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13097111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 278640 + ... + 278686.

Almost surely, 213097161 is an apocalyptic number.

13097161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13097161 is the 3619-th square number.

13097161 is the 1810-th centered octagonal number.

It is an amenable number.

13097161 is a deficient number, since it is larger than the sum of its proper divisors (4013156).

13097161 is an equidigital number, since it uses as much as digits as its factorization.

13097161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The cubic root of 13097161 is about 235.7178052385.

The spelling of 13097161 in words is "thirteen million, ninety-seven thousand, one hundred sixty-one".

Divisors: 1 7 11 47 49 77 121 329 517 539 847 2209 2303 3619 5687 5929 15463 24299 25333 39809 108241 170093 267289 278663 1190651 1871023 13097161