961409 has 8 divisors (see below), whose sum is σ = 997920. Its totient is φ = 925600.

The previous prime is 961399. The next prime is 961427. The reversal of 961409 is 904169.

961409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 961409 - 2⁴ = 961393 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961409.

It is not an unprimeable number, because it can be changed into a prime (961459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5282 + ... + 5460.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

2⁹⁶¹⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

961409 is a deficient number, since it is larger than the sum of its proper divisors (36511).

961409 is a wasteful number, since it uses less digits than its factorization.

961409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 961409 is about 980.5146607777. The cubic root of 961409 is about 98.6967217809.

The spelling of 961409 in words is "nine hundred sixty-one thousand, four hundred nine".