223925 has 18 divisors (see below), whose sum is σ = 306342. Its totient is φ = 162240.

The previous prime is 223921. The next prime is 223939. The reversal of 223925 is 529322.

223925 = 80² + 81² + ... + 105².

It can be written as a sum of positive squares in 9 ways, for example, as 117649 + 106276 = 343^2 + 326^2 .

It is not a de Polignac number, because 223925 - 2² = 223921 is a prime.

It is a d-powerful number, because it can be written as 2⁴ + 2¹³ + 9⁴ + 3¹¹ + 2¹⁴ + 5⁶ .

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 223925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223921) 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 17 ways as a sum of consecutive naturals, for example, 4199 + ... + 4251.

It is an arithmetic number, because the mean of its divisors is an integer number (17019).

2²²³⁹²⁵ is an apocalyptic number.

223925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

223925 is a deficient number, since it is larger than the sum of its proper divisors (82417).

223925 is a wasteful number, since it uses less digits than its factorization.

223925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 223925 is about 473.2071428032. The cubic root of 223925 is about 60.7250005805.

The spelling of 223925 in words is "two hundred twenty-three thousand, nine hundred twenty-five".