205035349 has 2 divisors, whose sum is σ = 205035350. Its totient is φ = 205035348.

The previous prime is 205035331. The next prime is 205035359. The reversal of 205035349 is 943530502.

205035349 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., 183412849 + 21622500 = 13543^2 + 4650^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205035349 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205035349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205035359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102517674 + 102517675.

It is an arithmetic number, because the mean of its divisors is an integer number (102517675).

Almost surely, 2^205035349 is an apocalyptic number.

It is an amenable number.

205035349 is a deficient number, since it is larger than the sum of its proper divisors (1).

205035349 is an equidigital number, since it uses as much as digits as its factorization.

205035349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 205035349 is about 14319.0554506923. The cubic root of 205035349 is about 589.6707432251.

It can be divided in two parts, 20503 and 5349, that added together give a palindrome (25852).

The spelling of 205035349 in words is "two hundred five million, thirty-five thousand, three hundred forty-nine".