37225 has 6 divisors (see below), whose sum is σ = 46190. Its totient is φ = 29760.

The previous prime is 37223. The next prime is 37243. The reversal of 37225 is 52273.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 361 + 36864 = 19^2 + 192^2 .

It is not a de Polignac number, because 37225 - 2¹ = 37223 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 3 + 7⁴ + 2¹¹ + 2¹⁵ + 5 .

It is not an unprimeable number, because it can be changed into a prime (37223) by changing a digit.

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, 720 + ... + 769.

2³⁷²²⁵ is an apocalyptic number.

It is an amenable number.

37225 is a deficient number, since it is larger than the sum of its proper divisors (8965).

37225 is a wasteful number, since it uses less digits than its factorization.

37225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1494 counting only the distinct ones).

The product of its digits is 420, while the sum is 19.

The square root of 37225 is about 192.9378138157. The cubic root of 37225 is about 33.3896270991.

Adding to 37225 its reverse (52273), we get a palindrome (89498).

It can be divided in two parts, 37 and 225, that added together give a palindrome (262).

The spelling of 37225 in words is "thirty-seven thousand, two hundred twenty-five".