311745 has 16 divisors (see below), whose sum is σ = 570240. Its totient is φ = 142464.

The previous prime is 311743. The next prime is 311747. The reversal of 311745 is 547113.

311745 = 123² + 124² + ... + 140².

311745 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (311743) and next prime (311747).

It is not a de Polignac number, because 311745 - 2¹ = 311743 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

311745 is strictly pandigital in base 7.

It is not an unprimeable number, because it can be changed into a prime (311743) 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 15 ways as a sum of consecutive naturals, for example, 1380 + ... + 1589.

It is an arithmetic number, because the mean of its divisors is an integer number (35640).

2³¹¹⁷⁴⁵ is an apocalyptic number.

311745 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

311745 is a deficient number, since it is larger than the sum of its proper divisors (258495).

311745 is a wasteful number, since it uses less digits than its factorization.

311745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984.

The product of its digits is 420, while the sum is 21.

The square root of 311745 is about 558.3412934756. The cubic root of 311745 is about 67.8057460693.

Adding to 311745 its reverse (547113), we get a palindrome (858858).

The spelling of 311745 in words is "three hundred eleven thousand, seven hundred forty-five".