312322249 has 8 divisors (see below), whose sum is σ = 334105128. Its totient is φ = 290918400.

The previous prime is 312322183. The next prime is 312322261. The reversal of 312322249 is 942223213.

It can be written as a sum of positive squares in 4 ways, for example, as 21790224 + 290532025 = 4668^2 + 17045^2 .

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 312322249 - 2¹¹ = 312320201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312322349) 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, 93052 + ... + 96349.

It is an arithmetic number, because the mean of its divisors is an integer number (41763141).

Almost surely, 2^312322249 is an apocalyptic number.

It is an amenable number.

312322249 is a deficient number, since it is larger than the sum of its proper divisors (21782879).

312322249 is a wasteful number, since it uses less digits than its factorization.

312322249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189515.

The product of its digits is 5184, while the sum is 28.

The square root of 312322249 is about 17672.6412570391. The cubic root of 312322249 is about 678.4757156273.

The spelling of 312322249 in words is "three hundred twelve million, three hundred twenty-two thousand, two hundred forty-nine".