Search a number
-
+
385016837 is a prime number
BaseRepresentation
bin10110111100101…
…110010000000101
3222211110212210212
4112330232100011
51242031014322
6102112125205
712353406032
oct2674562005
9884425725
10385016837
11188371937
12a8b36805
13619c681a
14391c4389
1523c040e2
hex16f2e405

385016837 has 2 divisors, whose sum is σ = 385016838. Its totient is φ = 385016836.

The previous prime is 385016791. The next prime is 385016839. The reversal of 385016837 is 738610583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 378458116 + 6558721 = 19454^2 + 2561^2 .

It is an emirp because it is prime and its reverse (738610583) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 385016837 - 224 = 368239621 is a prime.

Together with 385016839, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 385016794 and 385016803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (385016839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192508418 + 192508419.

It is an arithmetic number, because the mean of its divisors is an integer number (192508419).

Almost surely, 2385016837 is an apocalyptic number.

It is an amenable number.

385016837 is a deficient number, since it is larger than the sum of its proper divisors (1).

385016837 is an equidigital number, since it uses as much as digits as its factorization.

385016837 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 385016837 is about 19621.8459121460. The cubic root of 385016837 is about 727.4892395365.

The spelling of 385016837 in words is "three hundred eighty-five million, sixteen thousand, eight hundred thirty-seven".