961509 has 8 divisors (see below), whose sum is σ = 1298560. Its totient is φ = 632736.

The previous prime is 961507. The next prime is 961511. The reversal of 961509 is 905169.

It is an interprime number because it is at equal distance from previous prime (961507) and next prime (961511).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 961509 - 2¹ = 961507 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961509.

It is not an unprimeable number, because it can be changed into a prime (961507) 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 7 ways as a sum of consecutive naturals, for example, 1792 + ... + 2265.

It is an arithmetic number, because the mean of its divisors is an integer number (162320).

2⁹⁶¹⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

961509 is a deficient number, since it is larger than the sum of its proper divisors (337051).

961509 is a wasteful number, since it uses less digits than its factorization.

961509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139.

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 961509 is about 980.5656530799. The cubic root of 961509 is about 98.7001436094.

The spelling of 961509 in words is "nine hundred sixty-one thousand, five hundred nine".