Search a number
-
+
23000821 is a prime number
BaseRepresentation
bin101011110111…
…1011011110101
31121021120012021
41113233123311
521342011241
62140553141
7366334534
oct127573365
947246167
1023000821
1111a8a948
1278527b1
1349c426c
1430aa31b
1520450d1
hex15ef6f5

23000821 has 2 divisors, whose sum is σ = 23000822. Its totient is φ = 23000820.

The previous prime is 23000777. The next prime is 23000833. The reversal of 23000821 is 12800032.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13322500 + 9678321 = 3650^2 + 3111^2 .

It is a cyclic number.

It is not a de Polignac number, because 23000821 - 29 = 23000309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23000795 and 23000804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23000921) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11500410 + 11500411.

It is an arithmetic number, because the mean of its divisors is an integer number (11500411).

Almost surely, 223000821 is an apocalyptic number.

It is an amenable number.

23000821 is a deficient number, since it is larger than the sum of its proper divisors (1).

23000821 is an equidigital number, since it uses as much as digits as its factorization.

23000821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 23000821 is about 4795.9171177159. The cubic root of 23000821 is about 284.3900817344.

Adding to 23000821 its reverse (12800032), we get a palindrome (35800853).

The spelling of 23000821 in words is "twenty-three million, eight hundred twenty-one", and thus it is an aban number.