Search a number
23689 is a prime number
BaseRepresentation
bin101110010001001
31012111101
411302021
51224224
6301401
7126031
oct56211
935441
1023689
1116886
1211861
13aa23
1488c1
157044
hex5c89

23689 has 2 divisors, whose sum is σ = 23690. Its totient is φ = 23688.

The previous prime is 23687. The next prime is 23719. The reversal of 23689 is 98632.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13689 + 10000 = 117^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 23689 - 21 = 23687 is a prime.

It is a super-2 number, since 2×236892 = 1122337442, which contains 22 as substring.

Together with 23687, it forms a pair of twin primes.

23689 is a lucky number.

It is a plaindrome in base 10.

It is not a weakly prime, because it can be changed into another prime (23687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11844 + 11845.

It is an arithmetic number, because the mean of its divisors is an integer number (11845).

223689 is an apocalyptic number.

It is an amenable number.

23689 is a deficient number, since it is larger than the sum of its proper divisors (1).

23689 is an equidigital number, since it uses as much as digits as its factorization.

23689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 28.

The square root of 23689 is about 153.9123126978. The cubic root of 23689 is about 28.7198549818.

It can be divided in two parts, 2368 and 9, that multiplied together give a palindrome (21312).

The spelling of 23689 in words is "twenty-three thousand, six hundred eighty-nine".