31225 has 6 divisors (see below), whose sum is σ = 38750. Its totient is φ = 24960.

The previous prime is 31223. The next prime is 31231. The reversal of 31225 is 52213.

It can be written as a sum of positive squares in 3 ways, for example, as 1296 + 29929 = 36^2 + 173^2 .

It is not a de Polignac number, because 31225 - 2¹ = 31223 is a prime.

It is a super-3 number, since 3×31225³ = 91333183546875, which contains 333 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31223) 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 5 ways as a sum of consecutive naturals, for example, 600 + ... + 649.

2³¹²²⁵ is an apocalyptic number.

It is an amenable number.

31225 is a deficient number, since it is larger than the sum of its proper divisors (7525).

31225 is a wasteful number, since it uses less digits than its factorization.

31225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1254 counting only the distinct ones).

The product of its digits is 60, while the sum is 13.

The square root of 31225 is about 176.7059704707. The cubic root of 31225 is about 31.4896245329.

Adding to 31225 its reverse (52213), we get a palindrome (83438).

It can be divided in two parts, 31 and 225, that added together give a 8-th power (256 = 2⁸).

The spelling of 31225 in words is "thirty-one thousand, two hundred twenty-five".