47947905 has 48 divisors (see below), whose sum is σ = 88704720. Its totient is φ = 23875584.

The previous prime is 47947903. The next prime is 47947909. The reversal of 47947905 is 50974974.

It can be written as a sum of positive squares in 8 ways, for example, as 5489649 + 42458256 = 2343^2 + 6516^2 .

It is not a de Polignac number, because 47947905 - 2¹ = 47947903 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47947903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178111 + ... + 178379.

It is an arithmetic number, because the mean of its divisors is an integer number (1848015).

Almost surely, 2^47947905 is an apocalyptic number.

47947905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47947905 is a deficient number, since it is larger than the sum of its proper divisors (40756815).

47947905 is a wasteful number, since it uses less digits than its factorization.

47947905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 47947905 is about 6924.4425768433. The cubic root of 47947905 is about 363.2925947272.

It can be divided in two parts, 479 and 47905, that added together give a palindrome (48384).

The spelling of 47947905 in words is "forty-seven million, nine hundred forty-seven thousand, nine hundred five".