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32497 is a prime number
BaseRepresentation
bin111111011110001
31122120121
413323301
52014442
6410241
7163513
oct77361
948517
1032497
1122463
1216981
1311a3a
14bbb3
159967
hex7ef1

32497 has 2 divisors, whose sum is σ = 32498. Its totient is φ = 32496.

The previous prime is 32491. The next prime is 32503. The reversal of 32497 is 79423.

It is a balanced prime because it is at equal distance from previous prime (32491) and next prime (32503).

It can be written as a sum of positive squares in only one way, i.e., 30976 + 1521 = 176^2 + 39^2 .

It is an emirp because it is prime and its reverse (79423) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32497 - 27 = 32369 is a prime.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (32491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16248 + 16249.

It is an arithmetic number, because the mean of its divisors is an integer number (16249).

232497 is an apocalyptic number.

It is an amenable number.

32497 is a deficient number, since it is larger than the sum of its proper divisors (1).

32497 is an equidigital number, since it uses as much as digits as its factorization.

32497 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1512, while the sum is 25.

The square root of 32497 is about 180.2692430782. The cubic root of 32497 is about 31.9115395403.

It can be divided in two parts, 32 and 497, that added together give a square (529 = 232).

The spelling of 32497 in words is "thirty-two thousand, four hundred ninety-seven".