35797 has 2 divisors, whose sum is σ = 35798. Its totient is φ = 35796.

The previous prime is 35771. The next prime is 35801. The reversal of 35797 is 79753.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22801 + 12996 = 151^2 + 114^2 .

It is a cyclic number.

It is not a de Polignac number, because 35797 - 2¹¹ = 33749 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35747) 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, 17898 + 17899.

It is an arithmetic number, because the mean of its divisors is an integer number (17899).

2³⁵⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

35797 is a deficient number, since it is larger than the sum of its proper divisors (1).

35797 is an equidigital number, since it uses as much as digits as its factorization.

35797 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6615, while the sum is 31.

The square root of 35797 is about 189.2009513718. The cubic root of 35797 is about 32.9570914619.

Subtracting 35797 from its reverse (79753), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 357 and 97, that added together give a palindrome (454).

The spelling of 35797 in words is "thirty-five thousand, seven hundred ninety-seven".