2013985 has 4 divisors (see below), whose sum is σ = 2416788. Its totient is φ = 1611184.

The previous prime is 2013983. The next prime is 2013989. The reversal of 2013985 is 5893102.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1535121 + 478864 = 1239^2 + 692^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013985 - 2¹ = 2013983 is a prime.

It is a super-2 number, since 2×2013985² = 8112271160450, which contains 22 as substring.

It is a Duffinian number.

2013985 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2013983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 201394 + ... + 201403.

It is an arithmetic number, because the mean of its divisors is an integer number (604197).

2^2013985 is an apocalyptic number.

It is an amenable number.

2013985 is a deficient number, since it is larger than the sum of its proper divisors (402803).

2013985 is an equidigital number, since it uses as much as digits as its factorization.

2013985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402802.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 2013985 is about 1419.1493931225. The cubic root of 2013985 is about 126.2850897464.

It can be divided in two parts, 201 and 3985, that added together give a triangular number (4186 = T₉₁).

The spelling of 2013985 in words is "two million, thirteen thousand, nine hundred eighty-five".