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32797 is a prime number
BaseRepresentation
bin1000000000011101
31122222201
420000131
52022142
6411501
7164422
oct100035
948881
1032797
1122706
1216b91
1311c0b
14bd49
159ab7
hex801d

32797 has 2 divisors, whose sum is σ = 32798. Its totient is φ = 32796.

The previous prime is 32789. The next prime is 32801. The reversal of 32797 is 79723.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32761 + 36 = 181^2 + 6^2 .

32797 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 32797 - 23 = 32789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16398 + 16399.

It is an arithmetic number, because the mean of its divisors is an integer number (16399).

232797 is an apocalyptic number.

It is an amenable number.

32797 is a deficient number, since it is larger than the sum of its proper divisors (1).

32797 is an equidigital number, since it uses as much as digits as its factorization.

32797 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2646, while the sum is 28.

The square root of 32797 is about 181.0994202089. The cubic root of 32797 is about 32.0094373207.

It can be divided in two parts, 327 and 97, that added together give a palindrome (424).

The spelling of 32797 in words is "thirty-two thousand, seven hundred ninety-seven".