35201 has 2 divisors, whose sum is σ = 35202. Its totient is φ = 35200.

The previous prime is 35171. The next prime is 35221. The reversal of 35201 is 10253.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30976 + 4225 = 176^2 + 65^2 .

It is an emirp because it is prime and its reverse (10253) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-35201 is a prime.

It is a super-2 number, since 2×35201² = 2478220802, which contains 22 as substring.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (35221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17600 + 17601.

It is an arithmetic number, because the mean of its divisors is an integer number (17601).

2³⁵²⁰¹ is an apocalyptic number.

It is an amenable number.

35201 is a deficient number, since it is larger than the sum of its proper divisors (1).

35201 is an equidigital number, since it uses as much as digits as its factorization.

35201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 35201 is about 187.6192953830. The cubic root of 35201 is about 32.7731611701.

Adding to 35201 its reverse (10253), we get a palindrome (45454).

The spelling of 35201 in words is "thirty-five thousand, two hundred one".