7805133 has 32 divisors (see below), whose sum is σ = 13451520. Its totient is φ = 4380480.

The previous prime is 7805131. The next prime is 7805137. The reversal of 7805133 is 3315087.

7805133 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7805133 - 2¹ = 7805131 is a prime.

It is a super-2 number, since 2×7805133² = 121840202295378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 7805097 and 7805106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7805131) 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 31 ways as a sum of consecutive naturals, for example, 11191 + ... + 11867.

It is an arithmetic number, because the mean of its divisors is an integer number (420360).

Almost surely, 2^7805133 is an apocalyptic number.

It is an amenable number.

7805133 is a deficient number, since it is larger than the sum of its proper divisors (5646387).

7805133 is a wasteful number, since it uses less digits than its factorization.

7805133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 7805133 is about 2793.7668120300. The cubic root of 7805133 is about 198.3627418357.

The spelling of 7805133 in words is "seven million, eight hundred five thousand, one hundred thirty-three".