4677613 has 8 divisors (see below), whose sum is σ = 4889880. Its totient is φ = 4468800.

The previous prime is 4677599. The next prime is 4677619. The reversal of 4677613 is 3167764.

It can be written as a sum of positive squares in 4 ways, for example, as 1225449 + 3452164 = 1107^2 + 1858^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4677613 is a prime.

It is a Duffinian number.

4677613 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4677619) 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, 2131 + ... + 3727.

It is an arithmetic number, because the mean of its divisors is an integer number (611235).

Almost surely, 2^4677613 is an apocalyptic number.

It is an amenable number.

4677613 is a deficient number, since it is larger than the sum of its proper divisors (212267).

4677613 is a wasteful number, since it uses less digits than its factorization.

4677613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727.

The product of its digits is 21168, while the sum is 34.

The square root of 4677613 is about 2162.7789993432. The cubic root of 4677613 is about 167.2404892099.

It can be divided in two parts, 467761 and 3, that added together give a palindrome (467764).

The spelling of 4677613 in words is "four million, six hundred seventy-seven thousand, six hundred thirteen".