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132017 = 971361
BaseRepresentation
bin100000001110110001
320201002112
4200032301
513211032
62455105
71056614
oct401661
9221075
10132017
1190206
1264495
1348122
143617b
15291b2
hex203b1

132017 has 4 divisors (see below), whose sum is σ = 133476. Its totient is φ = 130560.

The previous prime is 132001. The next prime is 132019. The reversal of 132017 is 710231.

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

It can be written as a sum of positive squares in 2 ways, for example, as 39601 + 92416 = 199^2 + 304^2 .

It is a cyclic number.

It is not a de Polignac number, because 132017 - 24 = 132001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131992 and 132010.

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 132017.

It is not an unprimeable number, because it can be changed into a prime (132019) 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, 584 + ... + 777.

It is an arithmetic number, because the mean of its divisors is an integer number (33369).

2132017 is an apocalyptic number.

It is an amenable number.

132017 is a deficient number, since it is larger than the sum of its proper divisors (1459).

132017 is an equidigital number, since it uses as much as digits as its factorization.

132017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 132017 is about 363.3414372185. The cubic root of 132017 is about 50.9186194093.

Adding to 132017 its reverse (710231), we get a palindrome (842248).

The spelling of 132017 in words is "one hundred thirty-two thousand, seventeen".

Divisors: 1 97 1361 132017