Search a number
-
+
57141137 is a prime number
BaseRepresentation
bin1101100111111…
…0011110010001
310222112001220102
43121332132101
5104112004022
65400422145
71262456144
oct331763621
9128461812
1057141137
112a288a89
1217177955
13bab8931
14783605b
15503aa92
hex367e791

57141137 has 2 divisors, whose sum is σ = 57141138. Its totient is φ = 57141136.

The previous prime is 57141089. The next prime is 57141173. The reversal of 57141137 is 73114175.

Together with next prime (57141173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49434961 + 7706176 = 7031^2 + 2776^2 .

It is a cyclic number.

It is not a de Polignac number, because 57141137 - 210 = 57140113 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (57141187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28570568 + 28570569.

It is an arithmetic number, because the mean of its divisors is an integer number (28570569).

Almost surely, 257141137 is an apocalyptic number.

It is an amenable number.

57141137 is a deficient number, since it is larger than the sum of its proper divisors (1).

57141137 is an equidigital number, since it uses as much as digits as its factorization.

57141137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2940, while the sum is 29.

The square root of 57141137 is about 7559.1756825728. The cubic root of 57141137 is about 385.1674921985.

The spelling of 57141137 in words is "fifty-seven million, one hundred forty-one thousand, one hundred thirty-seven".