Search a number
-
+
2812609 is a prime number
BaseRepresentation
bin1010101110101011000001
312021220011201
422232223001
51210000414
6140141201
732623012
oct12565301
95256151
102812609
111651178
12b37801
13776287
14533009
153a8574
hex2aeac1

2812609 has 2 divisors, whose sum is σ = 2812610. Its totient is φ = 2812608.

The previous prime is 2812597. The next prime is 2812619. The reversal of 2812609 is 9062182.

It is a happy number.

2812609 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., 1904400 + 908209 = 1380^2 + 953^2 .

It is a cyclic number.

It is not a de Polignac number, because 2812609 - 25 = 2812577 is a prime.

It is a Chen prime.

2812609 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (2812619) 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 as a sum of consecutive naturals, namely, 1406304 + 1406305.

It is an arithmetic number, because the mean of its divisors is an integer number (1406305).

22812609 is an apocalyptic number.

It is an amenable number.

2812609 is a deficient number, since it is larger than the sum of its proper divisors (1).

2812609 is an equidigital number, since it uses as much as digits as its factorization.

2812609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2812609 is about 1677.0834803313. The cubic root of 2812609 is about 141.1572278273.

The spelling of 2812609 in words is "two million, eight hundred twelve thousand, six hundred nine".