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32097 = 313823
BaseRepresentation
bin111110101100001
31122000210
413311201
52011342
6404333
7162402
oct76541
948023
1032097
112212a
12166a9
13117c0
14b9a9
15979c
hex7d61

32097 has 8 divisors (see below), whose sum is σ = 46144. Its totient is φ = 19728.

The previous prime is 32089. The next prime is 32099. The reversal of 32097 is 79023.

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

It is not a de Polignac number, because 32097 - 23 = 32089 is a prime.

It is a Duffinian number.

32097 is a lucky number.

It is a nialpdrome in base 8.

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 32097.

It is not an unprimeable number, because it can be changed into a prime (32099) 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, 373 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (5768).

232097 is an apocalyptic number.

It is an amenable number.

32097 is a deficient number, since it is larger than the sum of its proper divisors (14047).

32097 is a wasteful number, since it uses less digits than its factorization.

32097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 32097 is about 179.1563562925. The cubic root of 32097 is about 31.7800674105.

The spelling of 32097 in words is "thirty-two thousand, ninety-seven".

Divisors: 1 3 13 39 823 2469 10699 32097