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25317 = 322997
BaseRepresentation
bin110001011100101
31021201200
412023211
51302232
6313113
7133545
oct61345
937650
1025317
1118026
1212799
13b6a6
149325
15777c
hex62e5

25317 has 12 divisors (see below), whose sum is σ = 38220. Its totient is φ = 16128.

The previous prime is 25309. The next prime is 25321. The reversal of 25317 is 71352.

It can be written as a sum of positive squares in 2 ways, for example, as 12321 + 12996 = 111^2 + 114^2 .

It is not a de Polignac number, because 25317 - 23 = 25309 is a prime.

25317 is a lucky number.

It is a plaindrome in base 12 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 25317.

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 25317.

It is not an unprimeable number, because it can be changed into a prime (25307) 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, 213 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (3185).

225317 is an apocalyptic number.

It is an amenable number.

25317 is a deficient number, since it is larger than the sum of its proper divisors (12903).

25317 is a wasteful number, since it uses less digits than its factorization.

25317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 129 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 25317 is about 159.1131672741. The cubic root of 25317 is about 29.3632471468.

Adding to 25317 its reverse (71352), we get a palindrome (96669).

The spelling of 25317 in words is "twenty-five thousand, three hundred seventeen".

Divisors: 1 3 9 29 87 97 261 291 873 2813 8439 25317