Search a number
-
+
27772961 is a prime number
BaseRepresentation
bin110100111110…
…0100000100001
31221021000100012
41221330200201
524102213321
62431134305
7455031506
oct151744041
957230305
1027772961
111474a267
129374395
1359a5408
14398d4ad
15268905b
hex1a7c821

27772961 has 2 divisors, whose sum is σ = 27772962. Its totient is φ = 27772960.

The previous prime is 27772933. The next prime is 27772963. The reversal of 27772961 is 16927772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27363361 + 409600 = 5231^2 + 640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27772961 is a prime.

Together with 27772963, 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 (27772963) 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, 13886480 + 13886481.

It is an arithmetic number, because the mean of its divisors is an integer number (13886481).

Almost surely, 227772961 is an apocalyptic number.

It is an amenable number.

27772961 is a deficient number, since it is larger than the sum of its proper divisors (1).

27772961 is an equidigital number, since it uses as much as digits as its factorization.

27772961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 74088, while the sum is 41.

The square root of 27772961 is about 5270.0057874731. The cubic root of 27772961 is about 302.8359257946.

The spelling of 27772961 in words is "twenty-seven million, seven hundred seventy-two thousand, nine hundred sixty-one".