1006961 has 4 divisors (see below), whose sum is σ = 1066212. Its totient is φ = 947712.

The previous prime is 1006949. The next prime is 1006969. The reversal of 1006961 is 1696001.

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 490000 + 516961 = 700^2 + 719^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006961 - 2⁶ = 1006897 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1006969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29600 + ... + 29633.

It is an arithmetic number, because the mean of its divisors is an integer number (266553).

2^1006961 is an apocalyptic number.

It is an amenable number.

1006961 is a deficient number, since it is larger than the sum of its proper divisors (59251).

1006961 is an equidigital number, since it uses as much as digits as its factorization.

1006961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59250.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 1006961 is about 1003.4744640498. The cubic root of 1006961 is about 100.2314970111.

The spelling of 1006961 in words is "one million, six thousand, nine hundred sixty-one".