312249 has 8 divisors (see below), whose sum is σ = 475840. Its totient is φ = 178416.

The previous prime is 312241. The next prime is 312251. The reversal of 312249 is 942213.

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

It is not a de Polignac number, because 312249 - 2³ = 312241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 14869 = 312249 / (3 + 1 + 2 + 2 + 4 + 9).

It is a Duffinian number.

312249 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7414 + ... + 7455.

It is an arithmetic number, because the mean of its divisors is an integer number (59480).

2³¹²²⁴⁹ is an apocalyptic number.

It is an amenable number.

312249 is a deficient number, since it is larger than the sum of its proper divisors (163591).

312249 is a wasteful number, since it uses less digits than its factorization.

312249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14879.

The product of its digits is 432, while the sum is 21.

The square root of 312249 is about 558.7924480520. The cubic root of 312249 is about 67.8422670465.

It can be divided in two parts, 312 and 249, that added together give a triangular number (561 = T₃₃).

The spelling of 312249 in words is "three hundred twelve thousand, two hundred forty-nine".