Search a number
-
+
10597289 is a prime number
BaseRepresentation
bin101000011011…
…001110101001
3201221101202012
4220123032221
510203103124
61015045305
7156034613
oct50331651
921841665
1010597289
115a8899a
123670835
1322706b1
14159bdb3
15de4e0e
hexa1b3a9

10597289 has 2 divisors, whose sum is σ = 10597290. Its totient is φ = 10597288.

The previous prime is 10597277. The next prime is 10597291. The reversal of 10597289 is 98279501.

10597289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8323225 + 2274064 = 2885^2 + 1508^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10597289 is a prime.

It is a super-2 number, since 2×105972892 = 224605068299042, which contains 22 as substring.

Together with 10597291, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10597259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5298644 + 5298645.

It is an arithmetic number, because the mean of its divisors is an integer number (5298645).

Almost surely, 210597289 is an apocalyptic number.

It is an amenable number.

10597289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10597289 is an equidigital number, since it uses as much as digits as its factorization.

10597289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 10597289 is about 3255.3477540810. The cubic root of 10597289 is about 219.6501947849.

The spelling of 10597289 in words is "ten million, five hundred ninety-seven thousand, two hundred eighty-nine".