227513 has 16 divisors (see below), whose sum is σ = 280896. Its totient is φ = 181440.

The previous prime is 227501. The next prime is 227519. The reversal of 227513 is 315722.

It is a cyclic number.

It is not a de Polignac number, because 227513 - 2⁴ = 227497 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227519) 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, 5270 + ... + 5312.

It is an arithmetic number, because the mean of its divisors is an integer number (17556).

2²²⁷⁵¹³ is an apocalyptic number.

It is an amenable number.

227513 is a deficient number, since it is larger than the sum of its proper divisors (53383).

227513 is a wasteful number, since it uses less digits than its factorization.

227513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104.

The product of its digits is 420, while the sum is 20.

The square root of 227513 is about 476.9832282167. The cubic root of 227513 is about 61.0476202549.

Subtracting 227513 from its reverse (315722), we obtain a square (88209 = 297²).

The spelling of 227513 in words is "two hundred twenty-seven thousand, five hundred thirteen".