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36297 = 3237109
BaseRepresentation
bin1000110111001001
31211210100
420313021
52130142
6440013
7210552
oct106711
954710
1036297
11252a8
1219009
13136a1
14d329
15ab4c
hex8dc9

36297 has 12 divisors (see below), whose sum is σ = 54340. Its totient is φ = 23328.

The previous prime is 36293. The next prime is 36299. The reversal of 36297 is 79263.

36297 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 29241 + 7056 = 171^2 + 84^2 .

It is not a de Polignac number, because 36297 - 22 = 36293 is a prime.

It is a Duffinian number.

36297 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 36297.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36293) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279 + ... + 387.

236297 is an apocalyptic number.

36297 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

36297 is a deficient number, since it is larger than the sum of its proper divisors (18043).

36297 is a wasteful number, since it uses less digits than its factorization.

36297 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 149 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 36297 is about 190.5177157117. The cubic root of 36297 is about 33.1098269183.

It can be divided in two parts, 36 and 297, that added together give a palindrome (333).

The spelling of 36297 in words is "thirty-six thousand, two hundred ninety-seven".

Divisors: 1 3 9 37 109 111 327 333 981 4033 12099 36297