23828513 has 2 divisors, whose sum is σ = 23828514. Its totient is φ = 23828512.

The previous prime is 23828473. The next prime is 23828537. The reversal of 23828513 is 31582832.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14876449 + 8952064 = 3857^2 + 2992^2 .

It is a cyclic number.

It is not a de Polignac number, because 23828513 - 2⁶ = 23828449 is a prime.

It is equal to p_1497038 and since 23828513 and 1497038 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23828513.

It is not a weakly prime, because it can be changed into another prime (23828113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11914256 + 11914257.

It is an arithmetic number, because the mean of its divisors is an integer number (11914257).

Almost surely, 2^23828513 is an apocalyptic number.

It is an amenable number.

23828513 is a deficient number, since it is larger than the sum of its proper divisors (1).

23828513 is an equidigital number, since it uses as much as digits as its factorization.

23828513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11520, while the sum is 32.

The square root of 23828513 is about 4881.4457899274. The cubic root of 23828513 is about 287.7612516273.

The spelling of 23828513 in words is "twenty-three million, eight hundred twenty-eight thousand, five hundred thirteen".