205951201 has 9 divisors (see below), whose sum is σ = 209438931. Its totient is φ = 202521312.

The previous prime is 205951199. The next prime is 205951217. The reversal of 205951201 is 102159502.

The square root of 205951201 is 14351.

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., 3629025 + 202322176 = 1905^2 + 14224^2 .

It is not a de Polignac number, because 205951201 - 2¹ = 205951199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205951001) 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, 1621600 + ... + 1621726.

Almost surely, 2^205951201 is an apocalyptic number.

205951201 is the 14351-st square number.

205951201 is the 7176-th centered octagonal number.

It is an amenable number.

205951201 is a deficient number, since it is larger than the sum of its proper divisors (3487730).

205951201 is an frugal number, since it uses more digits than its factorization.

205951201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The cubic root of 205951201 is about 590.5474197290.

Multiplying 205951201 by its sum of digits (25), we get a square (5148780025 = 71755²).

Multiplying 205951201 by its product of nonzero digits (900), we get a square (185356080900 = 430530²).

The spelling of 205951201 in words is "two hundred five million, nine hundred fifty-one thousand, two hundred one".