2985367 has 16 divisors (see below), whose sum is σ = 3762432. Its totient is φ = 2301120.

The previous prime is 2985329. The next prime is 2985373. The reversal of 2985367 is 7635892.

It is a cyclic number.

It is not a de Polignac number, because 2985367 - 2¹¹ = 2983319 is a prime.

It is a super-2 number, since 2×2985367² = 17824832249378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985317) 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 15 ways as a sum of consecutive naturals, for example, 10408 + ... + 10690.

It is an arithmetic number, because the mean of its divisors is an integer number (235152).

2^2985367 is an apocalyptic number.

2985367 is a deficient number, since it is larger than the sum of its proper divisors (777065).

2985367 is a wasteful number, since it uses less digits than its factorization.

2985367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438.

The product of its digits is 90720, while the sum is 40.

The square root of 2985367 is about 1727.8214606839. The cubic root of 2985367 is about 143.9900809783.

It can be divided in two parts, 298 and 5367, that multiplied together give a triangular number (1599366 = T₁₇₈₈).

The spelling of 2985367 in words is "two million, nine hundred eighty-five thousand, three hundred sixty-seven".