311325 has 24 divisors (see below), whose sum is σ = 589248. Its totient is φ = 142080.

The previous prime is 311323. The next prime is 311329. The reversal of 311325 is 523113.

It is a happy number.

It is not a de Polignac number, because 311325 - 2¹ = 311323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

311325 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 311325.

It is not an unprimeable number, because it can be changed into a prime (311323) 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 23 ways as a sum of consecutive naturals, for example, 229 + ... + 821.

It is an arithmetic number, because the mean of its divisors is an integer number (24552).

2³¹¹³²⁵ is an apocalyptic number.

311325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

311325 is a deficient number, since it is larger than the sum of its proper divisors (277923).

311325 is a wasteful number, since it uses less digits than its factorization.

311325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 608 counting only the distinct ones).

The product of its digits is 90, while the sum is 15.

The square root of 311325 is about 557.9650526691. The cubic root of 311325 is about 67.7752818415.

Adding to 311325 its reverse (523113), we get a palindrome (834438).

It can be divided in two parts, 311 and 325, that added together give a palindrome (636).

The spelling of 311325 in words is "three hundred eleven thousand, three hundred twenty-five".