1005967 has 6 divisors (see below), whose sum is σ = 1025408. Its totient is φ = 986832.

The previous prime is 1005959. The next prime is 1005971. The reversal of 1005967 is 7695001.

It is a happy number.

It is not a de Polignac number, because 1005967 - 2³ = 1005959 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005937) 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 5 ways as a sum of consecutive naturals, for example, 7858 + ... + 7984.

2^1005967 is an apocalyptic number.

1005967 is a deficient number, since it is larger than the sum of its proper divisors (19441).

1005967 is an frugal number, since it uses more digits than its factorization.

1005967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 1005967 is about 1002.9790625930. The cubic root of 1005967 is about 100.1985056942.

The spelling of 1005967 in words is "one million, five thousand, nine hundred sixty-seven".