4667985 has 72 divisors (see below), whose sum is σ = 9870120. Its totient is φ = 2032128.

The previous prime is 4667983. The next prime is 4667989. The reversal of 4667985 is 5897664.

It can be written as a sum of positive squares in 4 ways, for example, as 603729 + 4064256 = 777^2 + 2016^2 .

It is not a de Polignac number, because 4667985 - 2¹ = 4667983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4667985.

It is not an unprimeable number, because it can be changed into a prime (4667981) 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 71 ways as a sum of consecutive naturals, for example, 63909 + ... + 63981.

It is an arithmetic number, because the mean of its divisors is an integer number (137085).

Almost surely, 2^4667985 is an apocalyptic number.

4667985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4667985 is an abundant number, since it is smaller than the sum of its proper divisors (5202135).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4667985 is a wasteful number, since it uses less digits than its factorization.

4667985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 4667985 is about 2160.5520127967. The cubic root of 4667985 is about 167.1256658691.

It can be divided in two parts, 46679 and 85, that added together give a palindrome (46764).

The spelling of 4667985 in words is "four million, six hundred sixty-seven thousand, nine hundred eighty-five".