35736541 has 2 divisors, whose sum is σ = 35736542. Its totient is φ = 35736540.

The previous prime is 35736529. The next prime is 35736551. The reversal of 35736541 is 14563753.

35736541 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., 34164025 + 1572516 = 5845^2 + 1254^2 .

It is a cyclic number.

It is not a de Polignac number, because 35736541 - 2⁵ = 35736509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35736497 and 35736506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35736551) 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, 17868270 + 17868271.

It is an arithmetic number, because the mean of its divisors is an integer number (17868271).

Almost surely, 2^35736541 is an apocalyptic number.

It is an amenable number.

35736541 is a deficient number, since it is larger than the sum of its proper divisors (1).

35736541 is an equidigital number, since it uses as much as digits as its factorization.

35736541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 37800, while the sum is 34.

The square root of 35736541 is about 5978.0047674789. The cubic root of 35736541 is about 329.3852681850.

The spelling of 35736541 in words is "thirty-five million, seven hundred thirty-six thousand, five hundred forty-one".