2085967 has 6 divisors (see below), whose sum is σ = 2258952. Its totient is φ = 1925352.

The previous prime is 2085947. The next prime is 2085971. The reversal of 2085967 is 7695802.

It is a de Polignac number, because none of the positive numbers 2^k-2085967 is a prime.

It is a Duffinian number.

2085967 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085947) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6003 + ... + 6340.

It is an arithmetic number, because the mean of its divisors is an integer number (376492).

2^2085967 is an apocalyptic number.

2085967 is a deficient number, since it is larger than the sum of its proper divisors (172985).

2085967 is a wasteful number, since it uses less digits than its factorization.

2085967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12369 (or 12356 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 2085967 is about 1444.2877137191. The cubic root of 2085967 is about 127.7720348326.

The spelling of 2085967 in words is "two million, eighty-five thousand, nine hundred sixty-seven".