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38165 = 517449

38165 has 8 divisors (see below), whose sum is σ = 48600. Its totient is φ = 28672.

The previous prime is 38153. The next prime is 38167. The reversal of 38165 is 56183.

It can be written as a sum of positive squares in 4 ways, for example, as 9604 + 28561 = 98^2 + 169^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 6-Lehmer number, since φ(38165) divides (38165-1)6.

It is a cyclic number.

It is not a de Polignac number, because 38165 - 24 = 38149 is a prime.

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

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 38165.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38165.

It is not an unprimeable number, because it can be changed into a prime (38167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

238165 is an apocalyptic number.

It is an amenable number.

38165 is a deficient number, since it is larger than the sum of its proper divisors (10435).

38165 is a wasteful number, since it uses less digits than its factorization.

38165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471.

The product of its digits is 720, while the sum is 23.

The square root of 38165 is about 195.3586445489. The cubic root of 38165 is about 33.6683439786.

The spelling of 38165 in words is "thirty-eight thousand, one hundred sixty-five".

Divisors: 1 5 17 85 449 2245 7633 38165