961009 has 16 divisors (see below), whose sum is σ = 1179648. Its totient is φ = 765072.

The previous prime is 961003. The next prime is 961021. The reversal of 961009 is 900169.

It is not a de Polignac number, because 961009 - 2⁵ = 960977 is a prime.

It is a Duffinian number.

961009 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (961003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7504 + ... + 7630.

It is an arithmetic number, because the mean of its divisors is an integer number (73728).

2⁹⁶¹⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

961009 is a deficient number, since it is larger than the sum of its proper divisors (218639).

961009 is a wasteful number, since it uses less digits than its factorization.

961009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204.

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 961009 is about 980.3106650445. The cubic root of 961009 is about 98.6830320938.

It can be divided in two parts, 96100 and 9, that multiplied together give a square (864900 = 930²).

The spelling of 961009 in words is "nine hundred sixty-one thousand, nine".