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164067 = 3173217
BaseRepresentation
bin101000000011100011
322100001120
4220003203
520222232
63303323
71252221
oct500343
9270046
10164067
111022a2
127ab43
13598a7
1443b11
153392c
hex280e3

164067 has 8 divisors (see below), whose sum is σ = 231696. Its totient is φ = 102912.

The previous prime is 164057. The next prime is 164071. The reversal of 164067 is 760461.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 164067 - 24 = 164051 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 164067.

It is not an unprimeable number, because it can be changed into a prime (164057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1558 + ... + 1659.

It is an arithmetic number, because the mean of its divisors is an integer number (28962).

2164067 is an apocalyptic number.

164067 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

164067 is a deficient number, since it is larger than the sum of its proper divisors (67629).

164067 is a wasteful number, since it uses less digits than its factorization.

164067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 164067 is about 405.0518485330. The cubic root of 164067 is about 54.7444897605.

The spelling of 164067 in words is "one hundred sixty-four thousand, sixty-seven".

Divisors: 1 3 17 51 3217 9651 54689 164067