311493 has 24 divisors (see below), whose sum is σ = 523488. Its totient is φ = 163296.

The previous prime is 311473. The next prime is 311533. The reversal of 311493 is 394113.

It is not a de Polignac number, because 311493 - 2⁸ = 311237 is a prime.

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

It is a Curzon number.

311493 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 311493.

It is not an unprimeable number, because it can be changed into a prime (311453) 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, 1830 + ... + 1992.

It is an arithmetic number, because the mean of its divisors is an integer number (21812).

2³¹¹⁴⁹³ is an apocalyptic number.

It is an amenable number.

311493 is a deficient number, since it is larger than the sum of its proper divisors (211995).

311493 is a wasteful number, since it uses less digits than its factorization.

311493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 186 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 311493 is about 558.1155794278. The cubic root of 311493 is about 67.7874708185.

The spelling of 311493 in words is "three hundred eleven thousand, four hundred ninety-three".