11745633 has 16 divisors (see below), whose sum is σ = 15981056. Its totient is φ = 7672320.

The previous prime is 11745619. The next prime is 11745647. The reversal of 11745633 is 33654711.

11745633 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11745619) and next prime (11745647).

It is not a de Polignac number, because 11745633 - 2⁹ = 11745121 is a prime.

It is a Duffinian number.

Its product of digits (7560) is a multiple of the sum of its prime divisors (504).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11745633.

It is not an unprimeable number, because it can be changed into a prime (11745133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52560 + ... + 52782.

It is an arithmetic number, because the mean of its divisors is an integer number (998816).

Almost surely, 2^11745633 is an apocalyptic number.

It is an amenable number.

11745633 is a deficient number, since it is larger than the sum of its proper divisors (4235423).

11745633 is a wasteful number, since it uses less digits than its factorization.

11745633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504.

The product of its digits is 7560, while the sum is 30.

The square root of 11745633 is about 3427.1902485856. The cubic root of 11745633 is about 227.3136291137.

The spelling of 11745633 in words is "eleven million, seven hundred forty-five thousand, six hundred thirty-three".