4977585 has 16 divisors (see below), whose sum is σ = 8849280. Its totient is φ = 2654640.

The previous prime is 4977571. The next prime is 4977611. The reversal of 4977585 is 5857794.

It is not a de Polignac number, because 4977585 - 2⁴ = 4977569 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4977585.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18301 + ... + 18570.

It is an arithmetic number, because the mean of its divisors is an integer number (553080).

Almost surely, 2^4977585 is an apocalyptic number.

4977585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4977585 is a deficient number, since it is larger than the sum of its proper divisors (3871695).

4977585 is a wasteful number, since it uses less digits than its factorization.

4977585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36885 (or 36879 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 4977585 is about 2231.0502011385. The cubic root of 4977585 is about 170.7416844651.

The spelling of 4977585 in words is "four million, nine hundred seventy-seven thousand, five hundred eighty-five".