35842801 has 2 divisors, whose sum is σ = 35842802. Its totient is φ = 35842800.

The previous prime is 35842777. The next prime is 35842813. The reversal of 35842801 is 10824853.

35842801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33362176 + 2480625 = 5776^2 + 1575^2 .

It is a cyclic number.

It is not a de Polignac number, because 35842801 - 2⁵ = 35842769 is a prime.

It is equal to p_2195257 and since 35842801 and 2195257 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (35842871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17921400 + 17921401.

It is an arithmetic number, because the mean of its divisors is an integer number (17921401).

Almost surely, 2^35842801 is an apocalyptic number.

It is an amenable number.

35842801 is a deficient number, since it is larger than the sum of its proper divisors (1).

35842801 is an equidigital number, since it uses as much as digits as its factorization.

35842801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 35842801 is about 5986.8857513736. The cubic root of 35842801 is about 329.7114128384.

The spelling of 35842801 in words is "thirty-five million, eight hundred forty-two thousand, eight hundred one".