5305905 has 48 divisors (see below), whose sum is σ = 10430784. Its totient is φ = 2566080.

The previous prime is 5305903. The next prime is 5305907. The reversal of 5305905 is 5095035.

It is an interprime number because it is at equal distance from previous prime (5305903) and next prime (5305907).

It is not a de Polignac number, because 5305905 - 2¹ = 5305903 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5305903) 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, 13167 + ... + 13563.

It is an arithmetic number, because the mean of its divisors is an integer number (217308).

Almost surely, 2^5305905 is an apocalyptic number.

5305905 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5305905 is a deficient number, since it is larger than the sum of its proper divisors (5124879).

5305905 is a wasteful number, since it uses less digits than its factorization.

5305905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The square root of 5305905 is about 2303.4550136697. The cubic root of 5305905 is about 174.4160673305.

The spelling of 5305905 in words is "five million, three hundred five thousand, nine hundred five".