2905947 has 24 divisors (see below), whose sum is σ = 4633200. Its totient is φ = 1740480.

The previous prime is 2905921. The next prime is 2905949. The reversal of 2905947 is 7495092.

It is not a de Polignac number, because 2905947 - 2¹¹ = 2903899 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2905949) 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 23 ways as a sum of consecutive naturals, for example, 14653 + ... + 14849.

It is an arithmetic number, because the mean of its divisors is an integer number (193050).

2^2905947 is an apocalyptic number.

2905947 is a deficient number, since it is larger than the sum of its proper divisors (1727253).

2905947 is a wasteful number, since it uses less digits than its factorization.

2905947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2905947 is about 1704.6838416551. The cubic root of 2905947 is about 142.7017272213.

The spelling of 2905947 in words is "two million, nine hundred five thousand, nine hundred forty-seven".