4777965 has 24 divisors (see below), whose sum is σ = 8381880. Its totient is φ = 2517504.

The previous prime is 4777961. The next prime is 4777967. The reversal of 4777965 is 5697774.

It can be written as a sum of positive squares in 4 ways, for example, as 125316 + 4652649 = 354^2 + 2157^2 .

It is not a de Polignac number, because 4777965 - 2² = 4777961 is a prime.

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

4777965 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 4777965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4777961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3409 + ... + 4601.

It is an arithmetic number, because the mean of its divisors is an integer number (349245).

Almost surely, 2^4777965 is an apocalyptic number.

4777965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4777965 is a deficient number, since it is larger than the sum of its proper divisors (3603915).

4777965 is a wasteful number, since it uses less digits than its factorization.

4777965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1290 counting only the distinct ones).

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

The square root of 4777965 is about 2185.8556676963. The cubic root of 4777965 is about 168.4280115254.

The spelling of 4777965 in words is "four million, seven hundred seventy-seven thousand, nine hundred sixty-five".