205306077 has 16 divisors (see below), whose sum is σ = 289233920. Its totient is φ = 129178800.

The previous prime is 205306043. The next prime is 205306097. The reversal of 205306077 is 770603502.

It is not a de Polignac number, because 205306077 - 2⁷ = 205305949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205306097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8802 + ... + 22092.

It is an arithmetic number, because the mean of its divisors is an integer number (18077120).

Almost surely, 2^205306077 is an apocalyptic number.

It is an amenable number.

205306077 is a deficient number, since it is larger than the sum of its proper divisors (83927843).

205306077 is a wasteful number, since it uses less digits than its factorization.

205306077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13584.

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 205306077 is about 14328.5057490305. The cubic root of 205306077 is about 589.9301621828.

Adding to 205306077 its reverse (770603502), we get a palindrome (975909579).

The spelling of 205306077 in words is "two hundred five million, three hundred six thousand, seventy-seven".