Search a number
-
+
2742917 is a prime number
BaseRepresentation
bin1010011101101010000101
312011100120112
422131222011
51200233132
6134442405
732212562
oct12355205
95140515
102742917
111603881
12b03405
13750638
14515869
15392ab2
hex29da85

2742917 has 2 divisors, whose sum is σ = 2742918. Its totient is φ = 2742916.

The previous prime is 2742893. The next prime is 2742919. The reversal of 2742917 is 7192472.

2742917 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., 2719201 + 23716 = 1649^2 + 154^2 .

It is a cyclic number.

It is not a de Polignac number, because 2742917 - 26 = 2742853 is a prime.

Together with 2742919, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2742919) 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, 1371458 + 1371459.

It is an arithmetic number, because the mean of its divisors is an integer number (1371459).

22742917 is an apocalyptic number.

It is an amenable number.

2742917 is a deficient number, since it is larger than the sum of its proper divisors (1).

2742917 is an equidigital number, since it uses as much as digits as its factorization.

2742917 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7056, while the sum is 32.

The square root of 2742917 is about 1656.1754134149. The cubic root of 2742917 is about 139.9815792090.

The spelling of 2742917 in words is "two million, seven hundred forty-two thousand, nine hundred seventeen".