35034561 has 9 divisors (see below), whose sum is σ = 50631139. Its totient is φ = 23344536.

The previous prime is 35034529. The next prime is 35034563. The reversal of 35034561 is 16543053.

The square root of 35034561 is 5919.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7535025 + 27499536 = 2745^2 + 5244^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 35034561 - 2⁵ = 35034529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35034563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16771 + ... + 18743.

Almost surely, 2^35034561 is an apocalyptic number.

35034561 is the 5919-th square number.

35034561 is the 2960-th centered octagonal number.

It is an amenable number.

35034561 is a deficient number, since it is larger than the sum of its proper divisors (15596578).

35034561 is an frugal number, since it uses more digits than its factorization.

35034561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The cubic root of 35034561 is about 327.2142635256.

The spelling of 35034561 in words is "thirty-five million, thirty-four thousand, five hundred sixty-one".