67984147 has 32 divisors (see below), whose sum is σ = 92160000. Its totient is φ = 48535200.

The previous prime is 67984141. The next prime is 67984157. The reversal of 67984147 is 74148976.

It is not a de Polignac number, because 67984147 - 2⁷ = 67984019 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 67984097 and 67984106.

It is not an unprimeable number, because it can be changed into a prime (67984141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44604 + ... + 46102.

It is an arithmetic number, because the mean of its divisors is an integer number (2880000).

Almost surely, 2^67984147 is an apocalyptic number.

67984147 is the 4123-rd decagonal number.

67984147 is a deficient number, since it is larger than the sum of its proper divisors (24175853).

67984147 is a wasteful number, since it uses less digits than its factorization.

67984147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567.

The product of its digits is 338688, while the sum is 46.

The square root of 67984147 is about 8245.2499658895. The cubic root of 67984147 is about 408.1337888646.

The spelling of 67984147 in words is "sixty-seven million, nine hundred eighty-four thousand, one hundred forty-seven".