67225 has 6 divisors (see below), whose sum is σ = 83390. Its totient is φ = 53760.

The previous prime is 67219. The next prime is 67231. The reversal of 67225 is 52276.

67225 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (67219) and next prime (67231).

It can be written as a sum of positive squares in 3 ways, for example, as 144 + 67081 = 12^2 + 259^2 .

It is not a de Polignac number, because 67225 - 2³ = 67217 is a prime.

It is an Ulam number.

67225 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 67196 and 67205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1320 + ... + 1369.

2⁶⁷²²⁵ is an apocalyptic number.

It is an amenable number.

67225 is a deficient number, since it is larger than the sum of its proper divisors (16165).

67225 is a wasteful number, since it uses less digits than its factorization.

67225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2694 counting only the distinct ones).

The product of its digits is 840, while the sum is 22.

The square root of 67225 is about 259.2778432493. The cubic root of 67225 is about 40.6608952961.

It can be divided in two parts, 67 and 225, that added together give a palindrome (292).

The spelling of 67225 in words is "sixty-seven thousand, two hundred twenty-five".