7535985 has 16 divisors (see below), whose sum is σ = 12204864. Its totient is φ = 3970112.

The previous prime is 7535971. The next prime is 7535999. The reversal of 7535985 is 5895357.

It is an interprime number because it is at equal distance from previous prime (7535971) and next prime (7535999).

It is a cyclic number.

It is not a de Polignac number, because 7535985 - 2⁵ = 7535953 is a prime.

It is a Curzon number.

7535985 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1782 + ... + 4271.

It is an arithmetic number, because the mean of its divisors is an integer number (762804).

Almost surely, 2^7535985 is an apocalyptic number.

It is an amenable number.

7535985 is a deficient number, since it is larger than the sum of its proper divisors (4668879).

7535985 is a wasteful number, since it uses less digits than its factorization.

7535985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144.

The product of its digits is 189000, while the sum is 42.

The square root of 7535985 is about 2745.1748578187. The cubic root of 7535985 is about 196.0559416189.

The spelling of 7535985 in words is "seven million, five hundred thirty-five thousand, nine hundred eighty-five".