35801 has 2 divisors, whose sum is σ = 35802. Its totient is φ = 35800.

The previous prime is 35797. The next prime is 35803. The reversal of 35801 is 10853.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25600 + 10201 = 160^2 + 101^2 .

It is an emirp because it is prime and its reverse (10853) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35801 - 2² = 35797 is a prime.

Together with 35803, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 35801.

It is not a weakly prime, because it can be changed into another prime (35803) 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, 17900 + 17901.

It is an arithmetic number, because the mean of its divisors is an integer number (17901).

2³⁵⁸⁰¹ is an apocalyptic number.

It is an amenable number.

35801 is a deficient number, since it is larger than the sum of its proper divisors (1).

35801 is an equidigital number, since it uses as much as digits as its factorization.

35801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 35801 is about 189.2115218479. The cubic root of 35801 is about 32.9583189712.

The spelling of 35801 in words is "thirty-five thousand, eight hundred one".