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32397 = 310799
BaseRepresentation
bin111111010001101
31122102220
413322031
52014042
6405553
7163311
oct77215
948386
1032397
1122382
12168b9
1311991
14bb41
1598ec
hex7e8d

32397 has 4 divisors (see below), whose sum is σ = 43200. Its totient is φ = 21596.

The previous prime is 32381. The next prime is 32401. The reversal of 32397 is 79323.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 32397 - 24 = 32381 is a prime.

It is a D-number.

32397 is a lucky number.

It is a nialpdrome in base 14.

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 32397.

It is not an unprimeable number, because it can be changed into a prime (32327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5397 + ... + 5402.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

232397 is an apocalyptic number.

It is an amenable number.

32397 is a deficient number, since it is larger than the sum of its proper divisors (10803).

32397 is a wasteful number, since it uses less digits than its factorization.

32397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10802.

The product of its digits is 1134, while the sum is 24.

The square root of 32397 is about 179.9916664738. The cubic root of 32397 is about 31.8787731020.

The spelling of 32397 in words is "thirty-two thousand, three hundred ninety-seven".

Divisors: 1 3 10799 32397