73361 has 2 divisors, whose sum is σ = 73362. Its totient is φ = 73360.

The previous prime is 73351. The next prime is 73363. The reversal of 73361 is 16337.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70225 + 3136 = 265^2 + 56^2 .

It is a cyclic number.

It is not a de Polignac number, because 73361 - 2^{10} = 72337 is a prime.

Together with 73363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (73363) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36680 + 36681.

It is an arithmetic number, because the mean of its divisors is an integer number (36681).

2^{73361} is an apocalyptic number.

It is an amenable number.

73361 is a deficient number, since it is larger than the sum of its proper divisors (1).

73361 is an equidigital number, since it uses as much as digits as its factorization.

73361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 378, while the sum is 20.

The square root of 73361 is about 270.8523583061. The cubic root of 73361 is about 41.8621710162.

Adding to 73361 its reverse (16337), we get a palindrome (89698).

It can be divided in two parts, 7336 and 1, that added together give a palindrome (7337).

The spelling of 73361 in words is "seventy-three thousand, three hundred sixty-one".

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