4777953 has 8 divisors (see below), whose sum is σ = 6590400. Its totient is φ = 3075408.

The previous prime is 4777943. The next prime is 4777961. The reversal of 4777953 is 3597774.

4777953 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4777953 - 2¹⁰ = 4776929 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (4777933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27373 + ... + 27546.

It is an arithmetic number, because the mean of its divisors is an integer number (823800).

Almost surely, 2^4777953 is an apocalyptic number.

It is an amenable number.

4777953 is a deficient number, since it is larger than the sum of its proper divisors (1812447).

4777953 is a wasteful number, since it uses less digits than its factorization.

4777953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54951.

The product of its digits is 185220, while the sum is 42.

The square root of 4777953 is about 2185.8529227741. The cubic root of 4777953 is about 168.4278705214.

The spelling of 4777953 in words is "four million, seven hundred seventy-seven thousand, nine hundred fifty-three".