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131697 = 3214633
BaseRepresentation
bin100000001001110001
320200122200
4200021301
513203242
62453413
71055646
oct401161
9220580
10131697
118aa45
1264269
1347c37
1435dcd
152904c
hex20271

131697 has 6 divisors (see below), whose sum is σ = 190242. Its totient is φ = 87792.

The previous prime is 131687. The next prime is 131701. The reversal of 131697 is 796131.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 62001 = 264^2 + 249^2 .

It is not a de Polignac number, because 131697 - 28 = 131441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131697.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131697.

It is not an unprimeable number, because it can be changed into a prime (131617) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7308 + ... + 7325.

It is an arithmetic number, because the mean of its divisors is an integer number (31707).

2131697 is an apocalyptic number.

It is an amenable number.

131697 is a deficient number, since it is larger than the sum of its proper divisors (58545).

131697 is a wasteful number, since it uses less digits than its factorization.

131697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14639 (or 14636 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 131697 is about 362.9008128952. The cubic root of 131697 is about 50.8774450628.

It can be divided in two parts, 131 and 697, that added together give a palindrome (828).

The spelling of 131697 in words is "one hundred thirty-one thousand, six hundred ninety-seven".

Divisors: 1 3 9 14633 43899 131697