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67117 = 411637
BaseRepresentation
bin10000011000101101
310102001211
4100120231
54121432
61234421
7366451
oct203055
9112054
1067117
1146476
1232a11
132471b
141a661
1514d47
hex1062d

67117 has 4 divisors (see below), whose sum is σ = 68796. Its totient is φ = 65440.

The previous prime is 67103. The next prime is 67121. The reversal of 67117 is 71176.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2601 + 64516 = 51^2 + 254^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-67117 is a prime.

It is a Smith number, since the sum of its digits (22) 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.

67117 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67157) 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 3 ways as a sum of consecutive naturals, for example, 778 + ... + 859.

It is an arithmetic number, because the mean of its divisors is an integer number (17199).

267117 is an apocalyptic number.

It is an amenable number.

67117 is a deficient number, since it is larger than the sum of its proper divisors (1679).

67117 is a wasteful number, since it uses less digits than its factorization.

67117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678.

The product of its digits is 294, while the sum is 22.

The square root of 67117 is about 259.0694887477. The cubic root of 67117 is about 40.6391091033.

The spelling of 67117 in words is "sixty-seven thousand, one hundred seventeen".

Divisors: 1 41 1637 67117