Search a number
-
+
7137 = 321361
BaseRepresentation
bin1101111100001
3100210100
41233201
5212022
653013
726544
oct15741
910710
107137
1153a9
124169
133330
14285b
1521ac
hex1be1

7137 has 12 divisors (see below), whose sum is σ = 11284. Its totient is φ = 4320.

The previous prime is 7129. The next prime is 7151. The reversal of 7137 is 7317.

It can be written as a sum of positive squares in 2 ways, for example, as 576 + 6561 = 24^2 + 81^2 .

It is not a de Polignac number, because 7137 - 23 = 7129 is a prime.

It is a nialpdrome in base 13.

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 7137.

It is not an unprimeable number, because it can be changed into a prime (7127) 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, 87 + ... + 147.

27137 is an apocalyptic number.

It is an amenable number.

7137 is a deficient number, since it is larger than the sum of its proper divisors (4147).

7137 is a wasteful number, since it uses less digits than its factorization.

7137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 77 counting only the distinct ones).

The product of its digits is 147, while the sum is 18.

The square root of 7137 is about 84.4807670420. The cubic root of 7137 is about 19.2533024075.

It can be divided in two parts, 7 and 137, that multiplied together give a palindrome (959).

The spelling of 7137 in words is "seven thousand, one hundred thirty-seven".

Divisors: 1 3 9 13 39 61 117 183 549 793 2379 7137