313225 has 24 divisors (see below), whose sum is σ = 455328. Its totient is φ = 211200.

The previous prime is 313219. The next prime is 313241. The reversal of 313225 is 522313.

313225 = T₈₆ + T₈₇ + ... + T₁₃₅.

It is not a de Polignac number, because 313225 - 2¹¹ = 311177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313199 and 313208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4642 + ... + 4708.

It is an arithmetic number, because the mean of its divisors is an integer number (18972).

2³¹³²²⁵ is an apocalyptic number.

It is an amenable number.

313225 is a deficient number, since it is larger than the sum of its proper divisors (142103).

313225 is a wasteful number, since it uses less digits than its factorization.

313225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 100 counting only the distinct ones).

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

The square root of 313225 is about 559.6650784174. The cubic root of 313225 is about 67.9128786241.

Adding to 313225 its reverse (522313), we get a palindrome (835538).

The spelling of 313225 in words is "three hundred thirteen thousand, two hundred twenty-five".