337273225 has 9 divisors (see below), whose sum is σ = 418332693. Its totient is φ = 269745120.

The previous prime is 337273201. The next prime is 337273229. The reversal of 337273225 is 522372733.

The square root of 337273225 is 18365.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 130028409 + 207244816 = 11403^2 + 14396^2 .

It is not a de Polignac number, because 337273225 - 2²¹ = 335176073 is a prime.

It is a super-2 number, since 2×337273225² = 227506456603801250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (337273229) 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 8 ways as a sum of consecutive naturals, for example, 89989 + ... + 93661.

Almost surely, 2^337273225 is an apocalyptic number.

337273225 is the 18365-th square number.

337273225 is the 9183-rd centered octagonal number.

It is an amenable number.

337273225 is a deficient number, since it is larger than the sum of its proper divisors (81059468).

337273225 is an frugal number, since it uses more digits than its factorization.

337273225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7356 (or 3678 counting only the distinct ones).

The product of its digits is 52920, while the sum is 34.

The cubic root of 337273225 is about 696.0823499084.

The spelling of 337273225 in words is "three hundred thirty-seven million, two hundred seventy-three thousand, two hundred twenty-five".