4972305 has 32 divisors (see below), whose sum is σ = 8781696. Its totient is φ = 2386944.

The previous prime is 4972291. The next prime is 4972309. The reversal of 4972305 is 5032794.

It is not a de Polignac number, because 4972305 - 2¹² = 4968209 is a prime.

4972305 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4972309) 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 31 ways as a sum of consecutive naturals, for example, 8089 + ... + 8681.

It is an arithmetic number, because the mean of its divisors is an integer number (274428).

Almost surely, 2^4972305 is an apocalyptic number.

It is an amenable number.

4972305 is a deficient number, since it is larger than the sum of its proper divisors (3809391).

4972305 is a wasteful number, since it uses less digits than its factorization.

4972305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 4972305 is about 2229.8665879375. The cubic root of 4972305 is about 170.6812913866.

The spelling of 4972305 in words is "four million, nine hundred seventy-two thousand, three hundred five".