167984 has 10 divisors (see below), whose sum is σ = 325500. Its totient is φ = 83984.

The previous prime is 167971. The next prime is 167987. The reversal of 167984 is 489761.

It is not an unprimeable number, because it can be changed into a prime (167987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5234 + ... + 5265.

It is an arithmetic number, because the mean of its divisors is an integer number (32550).

2¹⁶⁷⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

167984 is a deficient number, since it is larger than the sum of its proper divisors (157516).

167984 is a wasteful number, since it uses less digits than its factorization.

167984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10507 (or 10501 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 167984 is about 409.8585121722. The cubic root of 167984 is about 55.1767317741.

It can be divided in two parts, 16 and 7984, that added together give a cube (8000 = 20³).

The spelling of 167984 in words is "one hundred sixty-seven thousand, nine hundred eighty-four".