1000961 has 8 divisors (see below), whose sum is σ = 1107624. Its totient is φ = 898560.

The previous prime is 1000931. The next prime is 1000969. The reversal of 1000961 is 1690001.

It can be written as a sum of positive squares in 4 ways, for example, as 126736 + 874225 = 356^2 + 935^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-1000961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000969) 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, 560 + ... + 1521.

It is an arithmetic number, because the mean of its divisors is an integer number (138453).

2^1000961 is an apocalyptic number.

It is an amenable number.

1000961 is a deficient number, since it is larger than the sum of its proper divisors (106663).

1000961 is a wasteful number, since it uses less digits than its factorization.

1000961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 1000961 is about 1000.4803846153. The cubic root of 1000961 is about 100.0320230775.

Adding to 1000961 its reverse (1690001), we get a palindrome (2690962).

The spelling of 1000961 in words is "one million, nine hundred sixty-one", and thus it is an aban number.