Search a number
-
+
39164369 is a prime number
BaseRepresentation
bin1001010101100…
…1100111010001
32201200202102012
42111121213101
540011224434
63515232305
7653614556
oct225314721
981622365
1039164369
112011a852
1211148695
1381633aa
1452b6a2d
1536893ce
hex25599d1

39164369 has 2 divisors, whose sum is σ = 39164370. Its totient is φ = 39164368.

The previous prime is 39164351. The next prime is 39164371. The reversal of 39164369 is 96346193.

39164369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37368769 + 1795600 = 6113^2 + 1340^2 .

It is a cyclic number.

It is not a de Polignac number, because 39164369 - 216 = 39098833 is a prime.

It is a super-2 number, since 2×391643692 = 3067695598336322, which contains 22 as substring.

Together with 39164371, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (39164309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19582184 + 19582185.

It is an arithmetic number, because the mean of its divisors is an integer number (19582185).

Almost surely, 239164369 is an apocalyptic number.

It is an amenable number.

39164369 is a deficient number, since it is larger than the sum of its proper divisors (1).

39164369 is an equidigital number, since it uses as much as digits as its factorization.

39164369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 104976, while the sum is 41.

The square root of 39164369 is about 6258.1442137426. The cubic root of 39164369 is about 339.5968953931.

The spelling of 39164369 in words is "thirty-nine million, one hundred sixty-four thousand, three hundred sixty-nine".