Search a number
-
+
364927141 is a prime number
BaseRepresentation
bin10101110000000…
…101100010100101
3221102200012221001
4111300011202211
51221410132031
6100113353301
712020554345
oct2560054245
9842605831
10364927141
11177aa0187
12a2268831
135a7b1627
1436674d25
1522086861
hex15c058a5

364927141 has 2 divisors, whose sum is σ = 364927142. Its totient is φ = 364927140.

The previous prime is 364927127. The next prime is 364927153. The reversal of 364927141 is 141729463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 335659041 + 29268100 = 18321^2 + 5410^2 .

It is an emirp because it is prime and its reverse (141729463) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 364927141 - 25 = 364927109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 364927141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (364927441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 182463570 + 182463571.

It is an arithmetic number, because the mean of its divisors is an integer number (182463571).

Almost surely, 2364927141 is an apocalyptic number.

It is an amenable number.

364927141 is a deficient number, since it is larger than the sum of its proper divisors (1).

364927141 is an equidigital number, since it uses as much as digits as its factorization.

364927141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36288, while the sum is 37.

The square root of 364927141 is about 19103.0662721983. The cubic root of 364927141 is about 714.6093949448.

The spelling of 364927141 in words is "three hundred sixty-four million, nine hundred twenty-seven thousand, one hundred forty-one".