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132097 = 7113167
BaseRepresentation
bin100000010000000001
320201012111
4200100001
513211342
62455321
71060060
oct402001
9221174
10132097
1190279
1264541
1348184
14361d7
1529217
hex20401

132097 has 8 divisors (see below), whose sum is σ = 153216. Its totient is φ = 111552.

The previous prime is 132071. The next prime is 132103. The reversal of 132097 is 790231.

132097 is nontrivially palindromic in base 13.

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

It is not a de Polignac number, because 132097 - 27 = 131969 is a prime.

132097 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (132047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 708 + ... + 874.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

It is a Proth number, since it is equal to 129 ⋅ 210 + 1 and 129 < 210.

2132097 is an apocalyptic number.

It is an amenable number.

132097 is a deficient number, since it is larger than the sum of its proper divisors (21119).

132097 is a wasteful number, since it uses less digits than its factorization.

132097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 132097 is about 363.4515098332. The cubic root of 132097 is about 50.9289025976.

It can be divided in two parts, 13 and 2097, that multiplied together give a triangular number (27261 = T233).

The spelling of 132097 in words is "one hundred thirty-two thousand, ninety-seven".

Divisors: 1 7 113 167 791 1169 18871 132097