312251 has 2 divisors, whose sum is σ = 312252. Its totient is φ = 312250.

The previous prime is 312241. The next prime is 312253. The reversal of 312251 is 152213.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (152213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312251 is a prime.

Together with 312253, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312251.

It is not a weakly prime, because it can be changed into another prime (312253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156125 + 156126.

It is an arithmetic number, because the mean of its divisors is an integer number (156126).

2³¹²²⁵¹ is an apocalyptic number.

312251 is a deficient number, since it is larger than the sum of its proper divisors (1).

312251 is an equidigital number, since it uses as much as digits as its factorization.

312251 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60, while the sum is 14.

The square root of 312251 is about 558.7942376224. The cubic root of 312251 is about 67.8424118927.

Adding to 312251 its reverse (152213), we get a palindrome (464464).

The spelling of 312251 in words is "three hundred twelve thousand, two hundred fifty-one".