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162117 = 3218013
BaseRepresentation
bin100111100101000101
322020101100
4213211011
520141432
63250313
71243434
oct474505
9266340
10162117
1110088a
1279999
1358a37
144311b
153307c
hex27945

162117 has 6 divisors (see below), whose sum is σ = 234182. Its totient is φ = 108072.

The previous prime is 162109. The next prime is 162119. The reversal of 162117 is 711261.

162117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 159201 + 2916 = 399^2 + 54^2 .

It is not a de Polignac number, because 162117 - 23 = 162109 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 162117.

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 162117.

It is not an unprimeable number, because it can be changed into a prime (162119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8998 + ... + 9015.

2162117 is an apocalyptic number.

It is an amenable number.

162117 is a deficient number, since it is larger than the sum of its proper divisors (72065).

162117 is a wasteful number, since it uses less digits than its factorization.

162117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18019 (or 18016 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 162117 is about 402.6375541352. The cubic root of 162117 is about 54.5267382756.

Adding to 162117 its reverse (711261), we get a palindrome (873378).

The spelling of 162117 in words is "one hundred sixty-two thousand, one hundred seventeen".

Divisors: 1 3 9 18013 54039 162117