1008961 has 4 divisors (see below), whose sum is σ = 1028052. Its totient is φ = 989872.

The previous prime is 1008947. The next prime is 1008979. The reversal of 1008961 is 1698001.

1008961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 269361 + 739600 = 519^2 + 860^2 .

It is a cyclic number.

It is not a de Polignac number, because 1008961 - 2¹⁵ = 976193 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9466 + ... + 9571.

It is an arithmetic number, because the mean of its divisors is an integer number (257013).

2^1008961 is an apocalyptic number.

It is an amenable number.

1008961 is a deficient number, since it is larger than the sum of its proper divisors (19091).

1008961 is an equidigital number, since it uses as much as digits as its factorization.

1008961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19090.

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 1008961 is about 1004.4705072823. The cubic root of 1008961 is about 100.2978121985.

The spelling of 1008961 in words is "one million, eight thousand, nine hundred sixty-one".