4877641 has 8 divisors (see below), whose sum is σ = 4997960. Its totient is φ = 4758912.

The previous prime is 4877617. The next prime is 4877651. The reversal of 4877641 is 1467784.

It can be written as a sum of positive squares in 4 ways, for example, as 129600 + 4748041 = 360^2 + 2179^2 .

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

It is a 4-Lehmer number, since φ(4877641) divides (4877641-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 4877641 - 2⁷ = 4877513 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4877641.

It is not an unprimeable number, because it can be changed into a prime (4877651) 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 7 ways as a sum of consecutive naturals, for example, 7651 + ... + 8263.

It is an arithmetic number, because the mean of its divisors is an integer number (624745).

It is a Poulet number, since it divides 2^4877640-1.

Almost surely, 2^4877641 is an apocalyptic number.

It is an amenable number.

4877641 is a deficient number, since it is larger than the sum of its proper divisors (120319).

4877641 is a wasteful number, since it uses less digits than its factorization.

4877641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795.

The product of its digits is 37632, while the sum is 37.

The square root of 4877641 is about 2208.5382043334. The cubic root of 4877641 is about 169.5911860741.

It can be divided in two parts, 487 and 7641, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 4877641 in words is "four million, eight hundred seventy-seven thousand, six hundred forty-one".