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132665 = 5132157
BaseRepresentation
bin100000011000111001
320201222112
4200120321
513221130
62502105
71061531
oct403071
9221875
10132665
1190745
1264935
1348500
14364c1
1529495
hex20639

132665 has 12 divisors (see below), whose sum is σ = 173484. Its totient is φ = 97344.

The previous prime is 132661. The next prime is 132667. The reversal of 132665 is 566231.

Added to its reverse (566231) it gives a square (698896 = 8362).

It can be written as a sum of positive squares in 6 ways, for example, as 38416 + 94249 = 196^2 + 307^2 .

It is not a de Polignac number, because 132665 - 22 = 132661 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132665.

It is not an unprimeable number, because it can be changed into a prime (132661) 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 11 ways as a sum of consecutive naturals, for example, 767 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (14457).

132665 is a Friedman number, since it can be written as 51^3+6+6+2, using all its digits and the basic arithmetic operations.

2132665 is an apocalyptic number.

It is an amenable number.

132665 is a deficient number, since it is larger than the sum of its proper divisors (40819).

132665 is a wasteful number, since it uses less digits than its factorization.

132665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 132665 is about 364.2320688792. The cubic root of 132665 is about 51.0017941186.

Adding to 132665 its reverse (566231), we get a palindrome (698896).

It can be divided in two parts, 132 and 665, that added together give a palindrome (797).

The spelling of 132665 in words is "one hundred thirty-two thousand, six hundred sixty-five".

Divisors: 1 5 13 65 157 169 785 845 2041 10205 26533 132665