Search a number
-
+
2057137 is a prime number
BaseRepresentation
bin111110110001110110001
310212111212021
413312032301
51011312022
6112031441
723325325
oct7661661
93774767
102057137
111185615
12832581
13570454
143b7985
152a97c7
hex1f63b1

2057137 has 2 divisors, whose sum is σ = 2057138. Its totient is φ = 2057136.

The previous prime is 2057113. The next prime is 2057141. The reversal of 2057137 is 7317502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1336336 + 720801 = 1156^2 + 849^2 .

It is a cyclic number.

It is not a de Polignac number, because 2057137 - 27 = 2057009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2057147) 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 as a sum of consecutive naturals, namely, 1028568 + 1028569.

It is an arithmetic number, because the mean of its divisors is an integer number (1028569).

22057137 is an apocalyptic number.

It is an amenable number.

2057137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2057137 is an equidigital number, since it uses as much as digits as its factorization.

2057137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 2057137 is about 1434.2722893509. The cubic root of 2057137 is about 127.1806592497.

The spelling of 2057137 in words is "two million, fifty-seven thousand, one hundred thirty-seven".