205977 has 4 divisors (see below), whose sum is σ = 274640. Its totient is φ = 137316.

The previous prime is 205967. The next prime is 205981. The reversal of 205977 is 779502.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 205977 - 2⁶ = 205913 is a prime.

It is a D-number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205937) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34327 + ... + 34332.

It is an arithmetic number, because the mean of its divisors is an integer number (68660).

2²⁰⁵⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

205977 is a deficient number, since it is larger than the sum of its proper divisors (68663).

205977 is an equidigital number, since it uses as much as digits as its factorization.

205977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68662.

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 205977 is about 453.8468904818. The cubic root of 205977 is about 59.0572077507.

The spelling of 205977 in words is "two hundred five thousand, nine hundred seventy-seven".