225649 has 8 divisors (see below), whose sum is σ = 241920. Its totient is φ = 210000.

The previous prime is 225637. The next prime is 225671. The reversal of 225649 is 946522.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 225649 - 2¹³ = 217457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 774 + ... + 1024.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2²²⁵⁶⁴⁹ is an apocalyptic number.

225649 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

225649 is a deficient number, since it is larger than the sum of its proper divisors (16271).

225649 is a wasteful number, since it uses less digits than its factorization.

225649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311.

The product of its digits is 4320, while the sum is 28.

The square root of 225649 is about 475.0252624861. The cubic root of 225649 is about 60.8804430648.

It can be divided in two parts, 22 and 5649, that added together give a triangular number (5671 = T₁₀₆).

The spelling of 225649 in words is "two hundred twenty-five thousand, six hundred forty-nine".