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132005 = 5171553
BaseRepresentation
bin100000001110100101
320201002002
4200032211
513211010
62455045
71056566
oct401645
9221062
10132005
11901a5
1264485
1348113
143616d
15291a5
hex203a5

132005 has 8 divisors (see below), whose sum is σ = 167832. Its totient is φ = 99328.

The previous prime is 132001. The next prime is 132019. The reversal of 132005 is 500231.

It can be written as a sum of positive squares in 4 ways, for example, as 7396 + 124609 = 86^2 + 353^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132005 - 22 = 132001 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132001) 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 7 ways as a sum of consecutive naturals, for example, 692 + ... + 861.

It is an arithmetic number, because the mean of its divisors is an integer number (20979).

2132005 is an apocalyptic number.

It is an amenable number.

132005 is a deficient number, since it is larger than the sum of its proper divisors (35827).

132005 is a wasteful number, since it uses less digits than its factorization.

132005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 132005 is about 363.3249234501. The cubic root of 132005 is about 50.9170765727.

Adding to 132005 its reverse (500231), we get a palindrome (632236).

The spelling of 132005 in words is "one hundred thirty-two thousand, five".

Divisors: 1 5 17 85 1553 7765 26401 132005