905072805 has 64 divisors (see below), whose sum is σ = 1980357120. Its totient is φ = 381915648.

The previous prime is 905072801. The next prime is 905072887. The reversal of 905072805 is 508270509.

905072805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 905072805 - 2² = 905072801 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 905072805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905072801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24552 + ... + 49121.

It is an arithmetic number, because the mean of its divisors is an integer number (30943080).

Almost surely, 2^905072805 is an apocalyptic number.

It is an amenable number.

905072805 is an abundant number, since it is smaller than the sum of its proper divisors (1075284315).

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

905072805 is a wasteful number, since it uses less digits than its factorization.

905072805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73707 (or 73701 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 905072805 is about 30084.4279486913. The cubic root of 905072805 is about 967.2999646538.

The spelling of 905072805 in words is "nine hundred five million, seventy-two thousand, eight hundred five".