Search a number
-
+
389987137 is a prime number
BaseRepresentation
bin10111001111101…
…011101101000001
31000011211101210001
4113033223231001
51244314042022
6102410440001
712443556511
oct2717535501
91004741701
10389987137
11190157121
12aa733001
1362a46c27
1439b19841
1524386b27
hex173ebb41

389987137 has 2 divisors, whose sum is σ = 389987138. Its totient is φ = 389987136.

The previous prime is 389987119. The next prime is 389987177. The reversal of 389987137 is 731789983.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 338707216 + 51279921 = 18404^2 + 7161^2 .

It is an emirp because it is prime and its reverse (731789983) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-389987137 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (389987177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 194993568 + 194993569.

It is an arithmetic number, because the mean of its divisors is an integer number (194993569).

Almost surely, 2389987137 is an apocalyptic number.

It is an amenable number.

389987137 is a deficient number, since it is larger than the sum of its proper divisors (1).

389987137 is an equidigital number, since it uses as much as digits as its factorization.

389987137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2286144, while the sum is 55.

The square root of 389987137 is about 19748.0919837842. The cubic root of 389987137 is about 730.6063249312.

The spelling of 389987137 in words is "three hundred eighty-nine million, nine hundred eighty-seven thousand, one hundred thirty-seven".