11633873 has 8 divisors (see below), whose sum is σ = 12241320. Its totient is φ = 11041920.

The previous prime is 11633851. The next prime is 11633879. The reversal of 11633873 is 37833611.

It can be written as a sum of positive squares in 4 ways, for example, as 3888784 + 7745089 = 1972^2 + 2783^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11633873 - 2⁸ = 11633617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11633879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2318 + ... + 5351.

It is an arithmetic number, because the mean of its divisors is an integer number (1530165).

Almost surely, 2^11633873 is an apocalyptic number.

It is an amenable number.

11633873 is a deficient number, since it is larger than the sum of its proper divisors (607447).

11633873 is an equidigital number, since it uses as much as digits as its factorization.

11633873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7747.

The product of its digits is 9072, while the sum is 32.

The square root of 11633873 is about 3410.8463759014. The cubic root of 11633873 is about 226.5903652734.

The spelling of 11633873 in words is "eleven million, six hundred thirty-three thousand, eight hundred seventy-three".