4977505 has 16 divisors (see below), whose sum is σ = 6526800. Its totient is φ = 3621888.

The previous prime is 4977493. The next prime is 4977517. The reversal of 4977505 is 5057794.

It is an interprime number because it is at equal distance from previous prime (4977493) and next prime (4977517).

It can be written as a sum of positive squares in 8 ways, for example, as 144 + 4977361 = 12^2 + 2231^2 .

It is a cyclic number.

It is not a de Polignac number, because 4977505 - 2¹¹ = 4975457 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4221 + ... + 5269.

It is an arithmetic number, because the mean of its divisors is an integer number (407925).

Almost surely, 2^4977505 is an apocalyptic number.

It is an amenable number.

4977505 is a deficient number, since it is larger than the sum of its proper divisors (1549295).

4977505 is a wasteful number, since it uses less digits than its factorization.

4977505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140.

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 4977505 is about 2231.0322722901. The cubic root of 4977505 is about 170.7407697371.

The spelling of 4977505 in words is "four million, nine hundred seventy-seven thousand, five hundred five".