10851633 has 24 divisors (see below), whose sum is σ = 17028648. Its totient is φ = 6619392.

The previous prime is 10851629. The next prime is 10851667. The reversal of 10851633 is 33615801.

It can be written as a sum of positive squares in 4 ways, for example, as 3415104 + 7436529 = 1848^2 + 2727^2 .

It is not a de Polignac number, because 10851633 - 2² = 10851629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10851597 and 10851606.

It is not an unprimeable number, because it can be changed into a prime (10851613) 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 23 ways as a sum of consecutive naturals, for example, 15691 + ... + 16367.

It is an arithmetic number, because the mean of its divisors is an integer number (709527).

Almost surely, 2^10851633 is an apocalyptic number.

10851633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10851633 is a deficient number, since it is larger than the sum of its proper divisors (6177015).

10851633 is a wasteful number, since it uses less digits than its factorization.

10851633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10851633 is about 3294.1816889783. The cubic root of 10851633 is about 221.3935848593.

The spelling of 10851633 in words is "ten million, eight hundred fifty-one thousand, six hundred thirty-three".