205457 has 8 divisors (see below), whose sum is σ = 240000. Its totient is φ = 175812.

The previous prime is 205453. The next prime is 205463. The reversal of 205457 is 754502.

It is not a de Polignac number, because 205457 - 2² = 205453 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (30000).

2²⁰⁵⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

205457 is a deficient number, since it is larger than the sum of its proper divisors (34543).

205457 is an frugal number, since it uses more digits than its factorization.

205457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 205457 is about 453.2736480317. The cubic root of 205457 is about 59.0074681727.

Adding to 205457 its reverse (754502), we get a palindrome (959959).

The spelling of 205457 in words is "two hundred five thousand, four hundred fifty-seven".