35381 has 2 divisors, whose sum is σ = 35382. Its totient is φ = 35380.

The previous prime is 35363. The next prime is 35393. The reversal of 35381 is 18353.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34225 + 1156 = 185^2 + 34^2 .

It is an emirp because it is prime and its reverse (18353) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35381 - 2⁶ = 35317 is a prime.

It is a super-2 number, since 2×35381² = 2503630322, which contains 22 as substring.

It is a Chen prime.

It is a nialpdrome in base 14.

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 35381.

It is not a weakly prime, because it can be changed into another prime (35311) 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 as a sum of consecutive naturals, namely, 17690 + 17691.

It is an arithmetic number, because the mean of its divisors is an integer number (17691).

2³⁵³⁸¹ is an apocalyptic number.

It is an amenable number.

35381 is a deficient number, since it is larger than the sum of its proper divisors (1).

35381 is an equidigital number, since it uses as much as digits as its factorization.

35381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360, while the sum is 20.

The square root of 35381 is about 188.0983785151. The cubic root of 35381 is about 32.8289279794.

It can be divided in two parts, 353 and 81, that added together give a palindrome (434).

The spelling of 35381 in words is "thirty-five thousand, three hundred eighty-one".