4657977 has 6 divisors (see below), whose sum is σ = 6728202. Its totient is φ = 3105312.

The previous prime is 4657963. The next prime is 4657981. The reversal of 4657977 is 7797564.

4657977 is a `hidden beast` number, since 4 + 6 + 579 + 77 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4562496 + 95481 = 2136^2 + 309^2 .

It is not a de Polignac number, because 4657977 - 2¹¹ = 4655929 is a prime.

4657977 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4657927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 258768 + ... + 258785.

It is an arithmetic number, because the mean of its divisors is an integer number (1121367).

Almost surely, 2^4657977 is an apocalyptic number.

It is an amenable number.

4657977 is a deficient number, since it is larger than the sum of its proper divisors (2070225).

4657977 is a wasteful number, since it uses less digits than its factorization.

4657977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517559 (or 517556 counting only the distinct ones).

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

The square root of 4657977 is about 2158.2346953008. The cubic root of 4657977 is about 167.0061431758.

It can be divided in two parts, 46579 and 77, that added together give a 6-th power (46656 = 6⁶).

The spelling of 4657977 in words is "four million, six hundred fifty-seven thousand, nine hundred seventy-seven".