221625 has 24 divisors (see below), whose sum is σ = 401544. Its totient is φ = 117600.

The previous prime is 221623. The next prime is 221653. The reversal of 221625 is 526122.

221625 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 4 ways, for example, as 2601 + 219024 = 51^2 + 468^2 .

It is not a de Polignac number, because 221625 - 2¹ = 221623 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221598 and 221607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1027 + ... + 1223.

It is an arithmetic number, because the mean of its divisors is an integer number (16731).

2²²¹⁶²⁵ is an apocalyptic number.

221625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221625 is a deficient number, since it is larger than the sum of its proper divisors (179919).

221625 is a wasteful number, since it uses less digits than its factorization.

221625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 221625 is about 470.7706447943. The cubic root of 221625 is about 60.5163765061.

Adding to 221625 its reverse (526122), we get a palindrome (747747).

The spelling of 221625 in words is "two hundred twenty-one thousand, six hundred twenty-five".