1680167 has 2 divisors, whose sum is σ = 1680168. Its totient is φ = 1680166.

The previous prime is 1680149. The next prime is 1680179. The reversal of 1680167 is 7610861.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1680167 - 2⁶ = 1680103 is a prime.

It is a super-2 number, since 2×1680167² = 5645922295778, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1680967) 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 as a sum of consecutive naturals, namely, 840083 + 840084.

It is an arithmetic number, because the mean of its divisors is an integer number (840084).

2^1680167 is an apocalyptic number.

1680167 is a deficient number, since it is larger than the sum of its proper divisors (1).

1680167 is an equidigital number, since it uses as much as digits as its factorization.

1680167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 1680167 is about 1296.2125597293. The cubic root of 1680167 is about 118.8823779524.

The spelling of 1680167 in words is "one million, six hundred eighty thousand, one hundred sixty-seven".