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32533 is a prime number
BaseRepresentation
bin111111100010101
31122121221
413330111
52020113
6410341
7163564
oct77425
948557
1032533
1122496
12169b1
1311a67
14bbdb
15998d
hex7f15

32533 has 2 divisors, whose sum is σ = 32534. Its totient is φ = 32532.

The previous prime is 32531. The next prime is 32537. The reversal of 32533 is 33523.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24964 + 7569 = 158^2 + 87^2 .

It is a cyclic number.

It is not a de Polignac number, because 32533 - 21 = 32531 is a prime.

Together with 32531, it forms a pair of twin primes.

32533 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16266 + 16267.

It is an arithmetic number, because the mean of its divisors is an integer number (16267).

232533 is an apocalyptic number.

It is an amenable number.

32533 is a deficient number, since it is larger than the sum of its proper divisors (1).

32533 is an equidigital number, since it uses as much as digits as its factorization.

32533 is an evil number, because the sum of its binary digits is even.

The product of its digits is 270, while the sum is 16.

The square root of 32533 is about 180.3690660840. The cubic root of 32533 is about 31.9233190017.

Subtracting 32533 from its reverse (33523), we obtain a triangular number (990 = T44).

It can be divided in two parts, 32 and 533, that added together give a palindrome (565).

The spelling of 32533 in words is "thirty-two thousand, five hundred thirty-three".