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132797 = 761311
BaseRepresentation
bin100000011010111101
320202011102
4200122331
513222142
62502445
71062110
oct403275
9222142
10132797
1190855
1264a25
13485a2
1436577
1529532
hex206bd

132797 has 8 divisors (see below), whose sum is σ = 154752. Its totient is φ = 111600.

The previous prime is 132763. The next prime is 132817. The reversal of 132797 is 797231.

It is a happy number.

132797 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 132797 - 28 = 132541 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 (132707) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272 + ... + 582.

It is an arithmetic number, because the mean of its divisors is an integer number (19344).

132797 is a Friedman number, since it can be written as (3^9-712)*7, using all its digits and the basic arithmetic operations.

2132797 is an apocalyptic number.

It is an amenable number.

132797 is a deficient number, since it is larger than the sum of its proper divisors (21955).

132797 is an equidigital number, since it uses as much as digits as its factorization.

132797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379.

The product of its digits is 2646, while the sum is 29.

The square root of 132797 is about 364.4132269828. The cubic root of 132797 is about 51.0187038919.

It can be divided in two parts, 132 and 797, that added together give a palindrome (929).

The spelling of 132797 in words is "one hundred thirty-two thousand, seven hundred ninety-seven".

Divisors: 1 7 61 311 427 2177 18971 132797