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32381 is a prime number
BaseRepresentation
bin111111001111101
31122102022
413321331
52014011
6405525
7163256
oct77175
948368
1032381
1122368
12168a5
131197b
14bb2d
1598db
hex7e7d

32381 has 2 divisors, whose sum is σ = 32382. Its totient is φ = 32380.

The previous prime is 32377. The next prime is 32401. The reversal of 32381 is 18323.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28900 + 3481 = 170^2 + 59^2 .

It is a cyclic number.

It is not a de Polignac number, because 32381 - 22 = 32377 is a prime.

It is a super-2 number, since 2×323812 = 2097058322, which contains 22 as substring.

It is a Sophie Germain prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a plaindrome in base 11.

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 32381.

It is not a weakly prime, because it can be changed into another prime (32321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16190 + 16191.

It is an arithmetic number, because the mean of its divisors is an integer number (16191).

232381 is an apocalyptic number.

It is an amenable number.

32381 is a deficient number, since it is larger than the sum of its proper divisors (1).

32381 is an equidigital number, since it uses as much as digits as its factorization.

32381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 144, while the sum is 17.

The square root of 32381 is about 179.9472144825. The cubic root of 32381 is about 31.8735242172.

It can be divided in two parts, 323 and 81, that added together give a palindrome (404).

The spelling of 32381 in words is "thirty-two thousand, three hundred eighty-one".