643167 has 32 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 354240.

The previous prime is 643129. The next prime is 643183. The reversal of 643167 is 761346.

643167 is a `hidden beast` number, since 643 + 16 + 7 = 666.

It is not a de Polignac number, because 643167 - 2⁷ = 643039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 643167.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 643167.

It is not an unprimeable number, because it can be changed into a prime (643187) 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 in 31 ways as a sum of consecutive naturals, for example, 7708 + ... + 7790.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2⁶⁴³¹⁶⁷ is an apocalyptic number.

643167 is a deficient number, since it is larger than the sum of its proper divisors (485793).

643167 is a wasteful number, since it uses less digits than its factorization.

643167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 643167 is about 801.9769323366. The cubic root of 643167 is about 86.3193015794.

The spelling of 643167 in words is "six hundred forty-three thousand, one hundred sixty-seven".