205400853 has 32 divisors (see below), whose sum is σ = 352088320. Its totient is φ = 117363168.

The previous prime is 205400843. The next prime is 205400873. The reversal of 205400853 is 358004502.

205400853 is a `hidden beast` number, since 205 + 400 + 8 + 53 = 666.

205400853 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205400853 - 2⁴ = 205400837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205400813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8601 + ... + 22017.

It is an arithmetic number, because the mean of its divisors is an integer number (11002760).

Almost surely, 2^205400853 is an apocalyptic number.

It is an amenable number.

205400853 is a deficient number, since it is larger than the sum of its proper divisors (146687467).

205400853 is an frugal number, since it uses more digits than its factorization.

205400853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13445 (or 13427 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 205400853 is about 14331.8126208795. The cubic root of 205400853 is about 590.0209252370.

The spelling of 205400853 in words is "two hundred five million, four hundred thousand, eight hundred fifty-three".