4973985 has 12 divisors (see below), whose sum is σ = 8621652. Its totient is φ = 2652768.

The previous prime is 4973959. The next prime is 4973989. The reversal of 4973985 is 5893794.

It can be written as a sum of positive squares in 2 ways, for example, as 2614689 + 2359296 = 1617^2 + 1536^2 .

It is not a de Polignac number, because 4973985 - 2¹⁵ = 4941217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 110533 = 4973985 / (4 + 9 + 7 + 3 + 9 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 4973985.

It is not an unprimeable number, because it can be changed into a prime (4973989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55222 + ... + 55311.

It is an arithmetic number, because the mean of its divisors is an integer number (718471).

Almost surely, 2^4973985 is an apocalyptic number.

4973985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4973985 is a deficient number, since it is larger than the sum of its proper divisors (3647667).

4973985 is a wasteful number, since it uses less digits than its factorization.

4973985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110544 (or 110541 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 4973985 is about 2230.2432602745. The cubic root of 4973985 is about 170.7005120017.

The spelling of 4973985 in words is "four million, nine hundred seventy-three thousand, nine hundred eighty-five".