355325 has 12 divisors (see below), whose sum is σ = 449748. Its totient is φ = 278400.

The previous prime is 355321. The next prime is 355331. The reversal of 355325 is 523553.

355325 = 107² + 108² + ... + 131².

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 114244 + 241081 = 338^2 + 491^2 .

It is not a de Polignac number, because 355325 - 2² = 355321 is a prime.

It is a d-powerful number, because it can be written as 3¹¹ + 5² + 3¹¹ + 5³ + 2⁸ + 5⁴ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 355325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1409 + ... + 1641.

It is an arithmetic number, because the mean of its divisors is an integer number (37479).

2³⁵⁵³²⁵ is an apocalyptic number.

355325 is the 422-nd centered square number.

It is an amenable number.

355325 is a deficient number, since it is larger than the sum of its proper divisors (94423).

355325 is a wasteful number, since it uses less digits than its factorization.

355325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 299 counting only the distinct ones).

The product of its digits is 2250, while the sum is 23.

The square root of 355325 is about 596.0914359392. The cubic root of 355325 is about 70.8285886864.

Adding to 355325 its reverse (523553), we get a palindrome (878878).

The spelling of 355325 in words is "three hundred fifty-five thousand, three hundred twenty-five".