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22797 = 3217149
BaseRepresentation
bin101100100001101
31011021100
411210031
51212142
6253313
7123315
oct54415
934240
1022797
1116145
1211239
13a4b8
148445
156b4c
hex590d

22797 has 12 divisors (see below), whose sum is σ = 35100. Its totient is φ = 14208.

The previous prime is 22787. The next prime is 22807. The reversal of 22797 is 79722.

It is an interprime number because it is at equal distance from previous prime (22787) and next prime (22807).

It can be written as a sum of positive squares in 2 ways, for example, as 9801 + 12996 = 99^2 + 114^2 .

It is not a de Polignac number, because 22797 - 27 = 22669 is a prime.

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 22797.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22717) 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 11 ways as a sum of consecutive naturals, for example, 79 + ... + 227.

It is an arithmetic number, because the mean of its divisors is an integer number (2925).

222797 is an apocalyptic number.

It is an amenable number.

22797 is a deficient number, since it is larger than the sum of its proper divisors (12303).

22797 is a wasteful number, since it uses less digits than its factorization.

22797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 169 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 22797 is about 150.9867543859. The cubic root of 22797 is about 28.3547550416.

It can be divided in two parts, 227 and 97, that added together give a square (324 = 182).

The spelling of 22797 in words is "twenty-two thousand, seven hundred ninety-seven".

Divisors: 1 3 9 17 51 149 153 447 1341 2533 7599 22797