4681677 has 32 divisors (see below), whose sum is σ = 8386560. Its totient is φ = 2243520.

The previous prime is 4681661. The next prime is 4681693. The reversal of 4681677 is 7761864.

It is an interprime number because it is at equal distance from previous prime (4681661) and next prime (4681693).

It is not a de Polignac number, because 4681677 - 2⁴ = 4681661 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4681637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2224 + ... + 3782.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^4681677 is an apocalyptic number.

It is an amenable number.

4681677 is a deficient number, since it is larger than the sum of its proper divisors (3704883).

4681677 is a wasteful number, since it uses less digits than its factorization.

4681677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593.

The product of its digits is 56448, while the sum is 39.

The square root of 4681677 is about 2163.7183273245. The cubic root of 4681677 is about 167.2889091061.

It can be divided in two parts, 468 and 1677, that added together give a triangular number (2145 = T₆₅).

The spelling of 4681677 in words is "four million, six hundred eighty-one thousand, six hundred seventy-seven".