4947085 has 48 divisors (see below), whose sum is σ = 7641648. Its totient is φ = 3041280.

The previous prime is 4947083. The next prime is 4947109. The reversal of 4947085 is 5807494.

4947085 = 52² + 53² + ... + 246².

4947085 is a nontrivial binomial coefficient, being equal to C(3146, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 58564 + 4888521 = 242^2 + 2211^2 .

It is not a de Polignac number, because 4947085 - 2¹ = 4947083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4947083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133687 + ... + 133723.

It is an arithmetic number, because the mean of its divisors is an integer number (159201).

Almost surely, 2^4947085 is an apocalyptic number.

4947085 is the 3145-th triangular number and also the 1573-rd hexagonal number.

4947085 is the 1049-th centered nonagonal number.

It is an amenable number.

4947085 is a deficient number, since it is larger than the sum of its proper divisors (2694563).

4947085 is a wasteful number, since it uses less digits than its factorization.

4947085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 4947085 is about 2224.2043521223. The cubic root of 4947085 is about 170.3922315847.

The spelling of 4947085 in words is "four million, nine hundred forty-seven thousand, eighty-five".