908961 has 8 divisors (see below), whose sum is σ = 1232064. Its totient is φ = 595920.

The previous prime is 908959. The next prime is 908993. The reversal of 908961 is 169809.

It is a happy number.

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

It is not a de Polignac number, because 908961 - 2¹ = 908959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (908911) 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, 2301 + ... + 2666.

It is an arithmetic number, because the mean of its divisors is an integer number (154008).

2⁹⁰⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

908961 is a deficient number, since it is larger than the sum of its proper divisors (323103).

908961 is a wasteful number, since it uses less digits than its factorization.

908961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031.

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 908961 is about 953.3944619097. The cubic root of 908961 is about 96.8683160147.

The spelling of 908961 in words is "nine hundred eight thousand, nine hundred sixty-one".