4290985 has 16 divisors (see below), whose sum is σ = 5397840. Its totient is φ = 3270400.

The previous prime is 4290973. The next prime is 4290991. The reversal of 4290985 is 5890924.

4290985 is a nontrivial binomial coefficient, being equal to C(2930, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 1022121 + 3268864 = 1011^2 + 1808^2 .

It is not a de Polignac number, because 4290985 - 2¹¹ = 4288937 is a prime.

4290985 is a lucky number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14499 + ... + 14791.

It is an arithmetic number, because the mean of its divisors is an integer number (337365).

Almost surely, 2^4290985 is an apocalyptic number.

4290985 is the 2929-th triangular number and also the 1465-th hexagonal number.

4290985 is the 977-th centered nonagonal number.

It is an amenable number.

4290985 is a deficient number, since it is larger than the sum of its proper divisors (1106855).

4290985 is a wasteful number, since it uses less digits than its factorization.

4290985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 4290985 is about 2071.4692853142. The cubic root of 4290985 is about 162.4996134113.

The spelling of 4290985 in words is "four million, two hundred ninety thousand, nine hundred eighty-five".