967985 has 4 divisors (see below), whose sum is σ = 1161588. Its totient is φ = 774384.

The previous prime is 967979. The next prime is 967999. The reversal of 967985 is 589769.

967985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 589769 = 367 ⋅1607.

It can be written as a sum of positive squares in 2 ways, for example, as 461041 + 506944 = 679^2 + 712^2 .

It is a cyclic number.

It is not a de Polignac number, because 967985 - 2¹⁰ = 966961 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

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, 96794 + ... + 96803.

It is an arithmetic number, because the mean of its divisors is an integer number (290397).

2⁹⁶⁷⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

967985 is a deficient number, since it is larger than the sum of its proper divisors (193603).

967985 is a wasteful number, since it uses less digits than its factorization.

967985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193602.

The product of its digits is 136080, while the sum is 44.

The square root of 967985 is about 983.8622871114. The cubic root of 967985 is about 98.9212379029.

The spelling of 967985 in words is "nine hundred sixty-seven thousand, nine hundred eighty-five".