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10369 is a prime number

10369 has 2 divisors, whose sum is σ = 10370. Its totient is φ = 10368.

The previous prime is 10357. The next prime is 10391. The reversal of 10369 is 96301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6400 + 3969 = 80^2 + 63^2 .

It is a cyclic number.

It is not a de Polignac number, because 10369 - 25 = 10337 is a prime.

It is a super-2 number, since 2×103692 = 215032322, which contains 22 as substring.

It is a Chen prime.

It is an Ulam number.

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

It is not a weakly prime, because it can be changed into another prime (10399) by changing a digit.

It is a Pierpont prime, being equal to 27 ⋅ 34 + 1.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5184 + 5185.

It is an arithmetic number, because the mean of its divisors is an integer number (5185).

It is a Proth number, since it is equal to 81 ⋅ 27 + 1 and 81 < 27.

210369 is an apocalyptic number.

It is an amenable number.

10369 is a deficient number, since it is larger than the sum of its proper divisors (1).

10369 is an equidigital number, since it uses as much as digits as its factorization.

10369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 10369 is about 101.8282868362. The cubic root of 10369 is about 21.8061481411.

The spelling of 10369 in words is "ten thousand, three hundred sixty-nine".