23727133 has 12 divisors (see below), whose sum is σ = 24928020. Its totient is φ = 22580096.

The previous prime is 23727107. The next prime is 23727149. The reversal of 23727133 is 33172732.

It can be written as a sum of positive squares in 6 ways, for example, as 3853369 + 19873764 = 1963^2 + 4458^2 .

It is not a de Polignac number, because 23727133 - 2¹⁷ = 23596061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23727163) 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 in 11 ways as a sum of consecutive naturals, for example, 74691 + ... + 75007.

It is an arithmetic number, because the mean of its divisors is an integer number (2077335).

Almost surely, 2^23727133 is an apocalyptic number.

It is an amenable number.

23727133 is a deficient number, since it is larger than the sum of its proper divisors (1200887).

23727133 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (23727132) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (464).

23727133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 435 counting only the distinct ones).

The product of its digits is 5292, while the sum is 28.

The square root of 23727133 is about 4871.0505027150. The cubic root of 23727133 is about 287.3525716715.

Adding to 23727133 its reverse (33172732), we get a palindrome (56899865).

The spelling of 23727133 in words is "twenty-three million, seven hundred twenty-seven thousand, one hundred thirty-three".