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23697 = 322633
BaseRepresentation
bin101110010010001
31012111200
411302101
51224242
6301413
7126042
oct56221
935450
1023697
1116893
1211869
13aa2b
1488c9
15704c
hex5c91

23697 has 6 divisors (see below), whose sum is σ = 34242. Its totient is φ = 15792.

The previous prime is 23689. The next prime is 23719. The reversal of 23697 is 79632.

It can be written as a sum of positive squares in only one way, i.e., 16641 + 7056 = 129^2 + 84^2 .

It is not a de Polignac number, because 23697 - 23 = 23689 is a prime.

It is a d-powerful number, because it can be written as 25 + 38 + 63 + 92 + 75 .

It is a self number, because there is not a number n which added to its sum of digits gives 23697.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 23697.

It is not an unprimeable number, because it can be changed into a prime (23627) 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 5 ways as a sum of consecutive naturals, for example, 1308 + ... + 1325.

It is an arithmetic number, because the mean of its divisors is an integer number (5707).

223697 is an apocalyptic number.

It is an amenable number.

23697 is a deficient number, since it is larger than the sum of its proper divisors (10545).

23697 is a wasteful number, since it uses less digits than its factorization.

23697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2636 counting only the distinct ones).

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

The square root of 23697 is about 153.9382993280. The cubic root of 23697 is about 28.7230876071.

It can be divided in two parts, 236 and 97, that added together give a palindrome (333).

The spelling of 23697 in words is "twenty-three thousand, six hundred ninety-seven".

Divisors: 1 3 9 2633 7899 23697