2085135 has 48 divisors (see below), whose sum is σ = 3919776. Its totient is φ = 940032.

The previous prime is 2085133. The next prime is 2085143. The reversal of 2085135 is 5315802.

It is a Cunningham number, because it is equal to 38⁴-1.

It is not a de Polignac number, because 2085135 - 2¹ = 2085133 is a prime.

It is an Ulam number.

2085135 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085131) 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 47 ways as a sum of consecutive naturals, for example, 56337 + ... + 56373.

It is an arithmetic number, because the mean of its divisors is an integer number (81662).

2^2085135 is an apocalyptic number.

2085135 is a deficient number, since it is larger than the sum of its proper divisors (1834641).

2085135 is a wasteful number, since it uses less digits than its factorization.

2085135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2085135 is about 1443.9996537396. Note that the first 3 decimals coincide. The cubic root of 2085135 is about 127.7550450352.

The spelling of 2085135 in words is "two million, eighty-five thousand, one hundred thirty-five".