1006967 has 8 divisors (see below), whose sum is σ = 1122240. Its totient is φ = 897120.

The previous prime is 1006949. The next prime is 1006969. The reversal of 1006967 is 7696001.

It is a happy number.

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 1006967 - 2⁸ = 1006711 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006969) 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, 959 + ... + 1712.

It is an arithmetic number, because the mean of its divisors is an integer number (140280).

2^1006967 is an apocalyptic number.

1006967 is a deficient number, since it is larger than the sum of its proper divisors (115273).

1006967 is a wasteful number, since it uses less digits than its factorization.

1006967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 1006967 is about 1003.4774536580. The cubic root of 1006967 is about 100.2316960880.

The spelling of 1006967 in words is "one million, six thousand, nine hundred sixty-seven".