205420127 has 24 divisors (see below), whose sum is σ = 236488896. Its totient is φ = 178112000.

The previous prime is 205420097. The next prime is 205420151. The reversal of 205420127 is 721024502.

It is a happy number.

It is not a de Polignac number, because 205420127 - 2¹⁰ = 205419103 is a prime.

It is a super-2 number, since 2×205420127² = 84394857153392258, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205422127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232727 + ... + 233607.

It is an arithmetic number, because the mean of its divisors is an integer number (9853704).

Almost surely, 2^205420127 is an apocalyptic number.

205420127 is a deficient number, since it is larger than the sum of its proper divisors (31068769).

205420127 is a wasteful number, since it uses less digits than its factorization.

205420127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 205420127 is about 14332.4850252843. The cubic root of 205420127 is about 590.0393797329.

Adding to 205420127 its reverse (721024502), we get a palindrome (926444629).

The spelling of 205420127 in words is "two hundred five million, four hundred twenty thousand, one hundred twenty-seven".