967509 has 12 divisors (see below), whose sum is σ = 1407276. Its totient is φ = 640512.

The previous prime is 967507. The next prime is 967511. The reversal of 967509 is 905769.

It is an interprime number because it is at equal distance from previous prime (967507) and next prime (967511).

It can be written as a sum of positive squares in 2 ways, for example, as 152100 + 815409 = 390^2 + 903^2 .

It is not a de Polignac number, because 967509 - 2¹ = 967507 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1459 + ... + 2015.

It is an arithmetic number, because the mean of its divisors is an integer number (117273).

2⁹⁶⁷⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

967509 is a deficient number, since it is larger than the sum of its proper divisors (439767).

967509 is a wasteful number, since it uses less digits than its factorization.

967509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 967509 is about 983.6203535918. The cubic root of 967509 is about 98.9050206304.

The spelling of 967509 in words is "nine hundred sixty-seven thousand, five hundred nine".