1681967 has 16 divisors (see below), whose sum is σ = 2076672. Its totient is φ = 1330560.

The previous prime is 1681957. The next prime is 1681973. The reversal of 1681967 is 7691861.

It is not a de Polignac number, because 1681967 - 2⁶ = 1681903 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1681967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4823 + ... + 5159.

It is an arithmetic number, because the mean of its divisors is an integer number (129792).

2^1681967 is an apocalyptic number.

1681967 is a deficient number, since it is larger than the sum of its proper divisors (394705).

1681967 is a wasteful number, since it uses less digits than its factorization.

1681967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398.

The product of its digits is 18144, while the sum is 38.

The square root of 1681967 is about 1296.9067044317. The cubic root of 1681967 is about 118.9248165729.

The spelling of 1681967 in words is "one million, six hundred eighty-one thousand, nine hundred sixty-seven".