Search a number
-
+
165904357 is a prime number
BaseRepresentation
bin10011110001101…
…11111111100101
3102120011210222211
421320313333211
5314432414412
624243523421
74053110113
oct1170677745
9376153884
10165904357
1185715443
1247689571
13284aa078
1418068ab3
15e871ca7
hex9e37fe5

165904357 has 2 divisors, whose sum is σ = 165904358. Its totient is φ = 165904356.

The previous prime is 165904289. The next prime is 165904381. The reversal of 165904357 is 753409561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154405476 + 11498881 = 12426^2 + 3391^2 .

It is an emirp because it is prime and its reverse (753409561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 165904357 - 223 = 157515749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165904657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82952178 + 82952179.

It is an arithmetic number, because the mean of its divisors is an integer number (82952179).

Almost surely, 2165904357 is an apocalyptic number.

It is an amenable number.

165904357 is a deficient number, since it is larger than the sum of its proper divisors (1).

165904357 is an equidigital number, since it uses as much as digits as its factorization.

165904357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 165904357 is about 12880.3865237034. The cubic root of 165904357 is about 549.4808953333.

The spelling of 165904357 in words is "one hundred sixty-five million, nine hundred four thousand, three hundred fifty-seven".