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36397 = 172141
BaseRepresentation
bin1000111000101101
31211221001
420320231
52131042
6440301
7211054
oct107055
954831
1036397
1125389
1219091
131374a
14d39b
15abb7
hex8e2d

36397 has 4 divisors (see below), whose sum is σ = 38556. Its totient is φ = 34240.

The previous prime is 36389. The next prime is 36433. The reversal of 36397 is 79363.

36397 is nontrivially palindromic in base 12.

36397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 79363 = 194177.

It can be written as a sum of positive squares in 2 ways, for example, as 32041 + 4356 = 179^2 + 66^2 .

It is a cyclic number.

It is not a de Polignac number, because 36397 - 23 = 36389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36307) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1054 + ... + 1087.

It is an arithmetic number, because the mean of its divisors is an integer number (9639).

236397 is an apocalyptic number.

It is an amenable number.

36397 is a deficient number, since it is larger than the sum of its proper divisors (2159).

36397 is a wasteful number, since it uses less digits than its factorization.

36397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158.

The product of its digits is 3402, while the sum is 28.

The square root of 36397 is about 190.7799779851. The cubic root of 36397 is about 33.1402054316.

It can be divided in two parts, 3 and 6397, that multiplied together give a palindrome (19191).

The spelling of 36397 in words is "thirty-six thousand, three hundred ninety-seven".

Divisors: 1 17 2141 36397