205097265 has 40 divisors (see below), whose sum is σ = 389295720. Its totient is φ = 102947328.

The previous prime is 205097261. The next prime is 205097273. The reversal of 205097265 is 562790502.

205097265 is a `hidden beast` number, since 20 + 509 + 72 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5948721 + 199148544 = 2439^2 + 14112^2 .

It is not a de Polignac number, because 205097265 - 2² = 205097261 is a prime.

It is a super-2 number, since 2×205097265² = 84129776220960450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205097261) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8010 + ... + 21779.

It is an arithmetic number, because the mean of its divisors is an integer number (9732393).

Almost surely, 2^205097265 is an apocalyptic number.

It is an amenable number.

205097265 is a deficient number, since it is larger than the sum of its proper divisors (184198455).

205097265 is a wasteful number, since it uses less digits than its factorization.

205097265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29823 (or 29814 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 205097265 is about 14321.2173016123. The cubic root of 205097265 is about 589.7300929575.

The spelling of 205097265 in words is "two hundred five million, ninety-seven thousand, two hundred sixty-five".