225930961 has 3 divisors (see below), whose sum is σ = 225945993. Its totient is φ = 225915930.

The previous prime is 225930959. The next prime is 225930977. The reversal of 225930961 is 169039522.

The square root of 225930961 is 15031.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 169039522 = 2 ⋅84519761.

It is not a de Polignac number, because 225930961 - 2¹ = 225930959 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 225930961.

It is not an unprimeable number, because it can be changed into a prime (225930931) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7516 + ... + 22546.

It is an arithmetic number, because the mean of its divisors is an integer number (75315331).

Almost surely, 2^225930961 is an apocalyptic number.

225930961 is the 15031-st square number.

225930961 is the 7516-th centered octagonal number.

It is an amenable number.

225930961 is a deficient number, since it is larger than the sum of its proper divisors (15032).

225930961 is an frugal number, since it uses more digits than its factorization.

225930961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30062 (or 15031 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The cubic root of 225930961 is about 609.0579034553.

The spelling of 225930961 in words is "two hundred twenty-five million, nine hundred thirty thousand, nine hundred sixty-one".