Search a number
-
+
57164309 is a prime number
BaseRepresentation
bin1101101000010…
…0001000010101
310222120020200122
43122010020111
5104113224214
65401121325
71262613536
oct332041025
9128506618
1057164309
112a2a4434
1217189245
13bac6347
14784068d
15504288e
hex3684215

57164309 has 2 divisors, whose sum is σ = 57164310. Its totient is φ = 57164308.

The previous prime is 57164281. The next prime is 57164323. The reversal of 57164309 is 90346175.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51523684 + 5640625 = 7178^2 + 2375^2 .

It is a cyclic number.

It is not a de Polignac number, because 57164309 - 28 = 57164053 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57164389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28582154 + 28582155.

It is an arithmetic number, because the mean of its divisors is an integer number (28582155).

Almost surely, 257164309 is an apocalyptic number.

It is an amenable number.

57164309 is a deficient number, since it is larger than the sum of its proper divisors (1).

57164309 is an equidigital number, since it uses as much as digits as its factorization.

57164309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 57164309 is about 7560.7082340215. The cubic root of 57164309 is about 385.2195498195.

The spelling of 57164309 in words is "fifty-seven million, one hundred sixty-four thousand, three hundred nine".