225977 has 2 divisors, whose sum is σ = 225978. Its totient is φ = 225976.

The previous prime is 225961. The next prime is 225983. The reversal of 225977 is 779522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212521 + 13456 = 461^2 + 116^2 .

It is a cyclic number.

It is not a de Polignac number, because 225977 - 2⁴ = 225961 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (225077) 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 as a sum of consecutive naturals, namely, 112988 + 112989.

It is an arithmetic number, because the mean of its divisors is an integer number (112989).

2²²⁵⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

225977 is a deficient number, since it is larger than the sum of its proper divisors (1).

225977 is an equidigital number, since it uses as much as digits as its factorization.

225977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8820, while the sum is 32.

The square root of 225977 is about 475.3703819129. The cubic root of 225977 is about 60.9099270830.

The spelling of 225977 in words is "two hundred twenty-five thousand, nine hundred seventy-seven".