905733147 has 16 divisors (see below), whose sum is σ = 1320979968. Its totient is φ = 547450080.

The previous prime is 905733121. The next prime is 905733149. The reversal of 905733147 is 741337509.

It is a happy number.

It is not a de Polignac number, because 905733147 - 2¹² = 905729051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (905733149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24483 + ... + 49100.

It is an arithmetic number, because the mean of its divisors is an integer number (82561248).

Almost surely, 2^905733147 is an apocalyptic number.

905733147 is a deficient number, since it is larger than the sum of its proper divisors (415246821).

905733147 is a wasteful number, since it uses less digits than its factorization.

905733147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73970.

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 905733147 is about 30095.4007615782. The cubic root of 905733147 is about 967.5351551301.

The spelling of 905733147 in words is "nine hundred five million, seven hundred thirty-three thousand, one hundred forty-seven".