225777 has 16 divisors (see below), whose sum is σ = 336960. Its totient is φ = 133632.

The previous prime is 225769. The next prime is 225779. The reversal of 225777 is 777522.

It is not a de Polignac number, because 225777 - 2³ = 225769 is a prime.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (225779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 853 + ... + 1085.

It is an arithmetic number, because the mean of its divisors is an integer number (21060).

2²²⁵⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

225777 is a deficient number, since it is larger than the sum of its proper divisors (111183).

225777 is a wasteful number, since it uses less digits than its factorization.

225777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272.

The product of its digits is 6860, while the sum is 30.

The square root of 225777 is about 475.1599730617. The cubic root of 225777 is about 60.8919524203.

The spelling of 225777 in words is "two hundred twenty-five thousand, seven hundred seventy-seven".