1005961 has 8 divisors (see below), whose sum is σ = 1108800. Its totient is φ = 905040.

The previous prime is 1005959. The next prime is 1005971. The reversal of 1005961 is 1695001.

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 1005961 - 2¹ = 1005959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 780 + ... + 1618.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

2^1005961 is an apocalyptic number.

1005961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005961 is a deficient number, since it is larger than the sum of its proper divisors (102839).

1005961 is a wasteful number, since it uses less digits than its factorization.

1005961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959.

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 1005961 is about 1002.9760714992. The cubic root of 1005961 is about 100.1983064854.

The spelling of 1005961 in words is "one million, five thousand, nine hundred sixty-one".