4977765 has 48 divisors (see below), whose sum is σ = 9504768. Its totient is φ = 2395008.

The previous prime is 4977757. The next prime is 4977767. The reversal of 4977765 is 5677794.

It is not a de Polignac number, because 4977765 - 2³ = 4977757 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4977765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4977767) 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 47 ways as a sum of consecutive naturals, for example, 39132 + ... + 39258.

It is an arithmetic number, because the mean of its divisors is an integer number (198016).

Almost surely, 2^4977765 is an apocalyptic number.

4977765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4977765 is a deficient number, since it is larger than the sum of its proper divisors (4527003).

4977765 is a wasteful number, since it uses less digits than its factorization.

4977765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 215 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 4977765 is about 2231.0905405205. The cubic root of 4977765 is about 170.7437425671.

The spelling of 4977765 in words is "four million, nine hundred seventy-seven thousand, seven hundred sixty-five".