1681483167 has 72 divisors (see below), whose sum is σ = 3125312736. Its totient is φ = 862856064.

The previous prime is 1681483157. The next prime is 1681483171. The reversal of 1681483167 is 7613841861.

1681483167 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 483 + 167 = 666.

It is not a de Polignac number, because 1681483167 - 2⁴ = 1681483151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681483127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 208158 + ... + 216084.

Almost surely, 2^1681483167 is an apocalyptic number.

1681483167 is a deficient number, since it is larger than the sum of its proper divisors (1443829569).

1681483167 is a wasteful number, since it uses less digits than its factorization.

1681483167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7997 (or 7987 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1681483167 is about 41005.8918571466. The cubic root of 1681483167 is about 1189.1341221339.

The spelling of 1681483167 in words is "one billion, six hundred eighty-one million, four hundred eighty-three thousand, one hundred sixty-seven".