11642033 has 16 divisors (see below), whose sum is σ = 13030416. Its totient is φ = 10333440.

The previous prime is 11642017. The next prime is 11642039. The reversal of 11642033 is 33024611.

It can be written as a sum of positive squares in 8 ways, for example, as 3301489 + 8340544 = 1817^2 + 2888^2 .

It is not a de Polignac number, because 11642033 - 2⁴ = 11642017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11641996 and 11642014.

It is not an unprimeable number, because it can be changed into a prime (11642039) 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 15 ways as a sum of consecutive naturals, for example, 41891 + ... + 42167.

It is an arithmetic number, because the mean of its divisors is an integer number (814401).

Almost surely, 2^11642033 is an apocalyptic number.

11642033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11642033 is a deficient number, since it is larger than the sum of its proper divisors (1388383).

11642033 is a wasteful number, since it uses less digits than its factorization.

11642033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 11642033 is about 3412.0423502647. The cubic root of 11642033 is about 226.6433297293.

Adding to 11642033 its reverse (33024611), we get a palindrome (44666644).

The spelling of 11642033 in words is "eleven million, six hundred forty-two thousand, thirty-three".