7985 has 4 divisors (see below), whose sum is σ = 9588. Its totient is φ = 6384.

The previous prime is 7963. The next prime is 7993. The reversal of 7985 is 5897.

7985 = T₅₄ + T₅₅ + ... + T₅₈.

It is a happy number.

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 2209 + 5776 = 47^2 + 76^2 .

It is a cyclic number.

It is not a de Polignac number, because 7985 - 2¹⁰ = 6961 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 794 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (2397).

2⁷⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

7985 is a deficient number, since it is larger than the sum of its proper divisors (1603).

7985 is a wasteful number, since it uses less digits than its factorization.

7985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602.

The product of its digits is 2520, while the sum is 29.

The square root of 7985 is about 89.3588272081. The cubic root of 7985 is about 19.9874921794.

The spelling of 7985 in words is "seven thousand, nine hundred eighty-five".