312193 has 8 divisors (see below), whose sum is σ = 361088. Its totient is φ = 264384.

The previous prime is 312161. The next prime is 312197. The reversal of 312193 is 391213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312193 - 2⁵ = 312161 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 312193.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312197) 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 7 ways as a sum of consecutive naturals, for example, 505 + ... + 937.

It is an arithmetic number, because the mean of its divisors is an integer number (45136).

2³¹²¹⁹³ is an apocalyptic number.

It is an amenable number.

312193 is a deficient number, since it is larger than the sum of its proper divisors (48895).

312193 is a wasteful number, since it uses less digits than its factorization.

312193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543.

The product of its digits is 162, while the sum is 19.

The square root of 312193 is about 558.7423377551. The cubic root of 312193 is about 67.8382111017.

It can be divided in two parts, 312 and 193, that added together give a palindrome (505).

The spelling of 312193 in words is "three hundred twelve thousand, one hundred ninety-three".