7933905 has 48 divisors (see below), whose sum is σ = 15949440. Its totient is φ = 3573504.

The previous prime is 7933903. The next prime is 7933909. The reversal of 7933905 is 5093397.

7933905 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 7933905 - 2¹ = 7933903 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7933905.

It is not an unprimeable number, because it can be changed into a prime (7933903) 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 47 ways as a sum of consecutive naturals, for example, 27894 + ... + 28176.

It is an arithmetic number, because the mean of its divisors is an integer number (332280).

Almost surely, 2^7933905 is an apocalyptic number.

It is an amenable number.

7933905 is an abundant number, since it is smaller than the sum of its proper divisors (8015535).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7933905 is a wasteful number, since it uses less digits than its factorization.

7933905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 36.

The square root of 7933905 is about 2816.7188358088. The cubic root of 7933905 is about 199.4476844752.

The spelling of 7933905 in words is "seven million, nine hundred thirty-three thousand, nine hundred five".