133225 has 9 divisors (see below), whose sum is σ = 167493. Its totient is φ = 105120.

The previous prime is 133213. The next prime is 133241. The reversal of 133225 is 522331.

133225 = T₃₆₄ + T₃₆₅.

The square root of 133225 is 365.

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 729 + 132496 = 27^2 + 364^2 .

It is not a de Polignac number, because 133225 - 2⁷ = 133097 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 133199 and 133208.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1789 + ... + 1861.

133225 is a Friedman number, since it can be written as (312+53)^2, using all its digits and the basic arithmetic operations.

2¹³³²²⁵ is an apocalyptic number.

133225 is the 365-th square number.

133225 is the 183-rd centered octagonal number.

It is an amenable number.

133225 is a deficient number, since it is larger than the sum of its proper divisors (34268).

133225 is an frugal number, since it uses more digits than its factorization.

133225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 78 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The cubic root of 133225 is about 51.0734556014.

Multiplying 133225 by its sum of digits (16), we get a square (2131600 = 1460²).

Adding to 133225 its reverse (522331), we get a palindrome (655556).

The spelling of 133225 in words is "one hundred thirty-three thousand, two hundred twenty-five".