Search a number
38609 is a prime number
BaseRepresentation
bin1001011011010001
31221221222
421123101
52213414
6454425
7220364
oct113321
957858
1038609
112700a
121a415
131475c
14100db
15b68e
hex96d1

38609 has 2 divisors, whose sum is σ = 38610. Its totient is φ = 38608.

The previous prime is 38603. The next prime is 38611. The reversal of 38609 is 90683.

It is a happy number.

38609 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., 29584 + 9025 = 172^2 + 95^2 .

It is a cyclic number.

It is not a de Polignac number, because 38609 - 24 = 38593 is a prime.

Together with 38611, 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 (38603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19304 + 19305.

It is an arithmetic number, because the mean of its divisors is an integer number (19305).

238609 is an apocalyptic number.

It is an amenable number.

38609 is a deficient number, since it is larger than the sum of its proper divisors (1).

38609 is an equidigital number, since it uses as much as digits as its factorization.

38609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 38609 is about 196.4917301059. The cubic root of 38609 is about 33.7984033418.

Subtracting from 38609 its sum of digits (26), we obtain a palindrome (38583).

The spelling of 38609 in words is "thirty-eight thousand, six hundred nine".