4977361 has 9 divisors (see below), whose sum is σ = 5257371. Its totient is φ = 4711872.

The previous prime is 4977341. The next prime is 4977367. The reversal of 4977361 is 1637794.

The square root of 4977361 is 2231.

It is a perfect power (a square), and thus also a powerful number.

4977361 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2235025 + 2742336 = 1495^2 + 1656^2 .

It is not a de Polignac number, because 4977361 - 2⁷ = 4977233 is a prime.

It is a Duffinian number.

4977361 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 4977361.

It is not an unprimeable number, because it can be changed into a prime (4977367) 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 8 ways as a sum of consecutive naturals, for example, 51265 + ... + 51361.

Almost surely, 2^4977361 is an apocalyptic number.

4977361 is the 2231-st square number.

4977361 is the 1116-th centered octagonal number.

It is an amenable number.

4977361 is a deficient number, since it is larger than the sum of its proper divisors (280010).

4977361 is an frugal number, since it uses more digits than its factorization.

4977361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 120 counting only the distinct ones).

The product of its digits is 31752, while the sum is 37.

The cubic root of 4977361 is about 170.7391232022.

The spelling of 4977361 in words is "four million, nine hundred seventy-seven thousand, three hundred sixty-one".