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BaseRepresentation
bin101101001100001
31011201221
411221201
51220022
6255041
7124312
oct55141
934657
1023137
1116424
1211481
13a6ba
148609
156cc7
hex5a61

23137 has 4 divisors (see below), whose sum is σ = 24516. Its totient is φ = 21760.

The previous prime is 23131. The next prime is 23143. The reversal of 23137 is 73132.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (23131) and next prime (23143).

It can be written as a sum of positive squares in 2 ways, for example, as 10816 + 12321 = 104^2 + 111^2 .

It is not a de Polignac number, because 23137 - 211 = 21089 is a prime.

It is a Duffinian number.

23137 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 23137.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 23137.

It is not an unprimeable number, because it can be changed into a prime (23131) 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 3 ways as a sum of consecutive naturals, for example, 664 + ... + 697.

It is an arithmetic number, because the mean of its divisors is an integer number (6129).

223137 is an apocalyptic number.

It is an amenable number.

23137 is a deficient number, since it is larger than the sum of its proper divisors (1379).

23137 is a wasteful number, since it uses less digits than its factorization.

23137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378.

The product of its digits is 126, while the sum is 16.

The square root of 23137 is about 152.1085138972. The cubic root of 23137 is about 28.4950232410.

Adding to 23137 its reverse (73132), we get a palindrome (96269).

The spelling of 23137 in words is "twenty-three thousand, one hundred thirty-seven".

Divisors: 1 17 1361 23137