23533965 has 72 divisors (see below), whose sum is σ = 51164568. Its totient is φ = 9918720.

The previous prime is 23533949. The next prime is 23533969. The reversal of 23533965 is 56933532.

It can be written as a sum of positive squares in 4 ways, for example, as 1764 + 23532201 = 42^2 + 4851^2 .

It is not a de Polignac number, because 23533965 - 2⁴ = 23533949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23533969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28255 + ... + 29075.

It is an arithmetic number, because the mean of its divisors is an integer number (710619).

Almost surely, 2^23533965 is an apocalyptic number.

It is an amenable number.

23533965 is an abundant number, since it is smaller than the sum of its proper divisors (27630603).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23533965 is a wasteful number, since it uses less digits than its factorization.

23533965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 849 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

The square root of 23533965 is about 4851.1818147746. The cubic root of 23533965 is about 286.5706449329.

The spelling of 23533965 in words is "twenty-three million, five hundred thirty-three thousand, nine hundred sixty-five".