312401 has 2 divisors, whose sum is σ = 312402. Its totient is φ = 312400.

The previous prime is 312397. The next prime is 312407. The reversal of 312401 is 104213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 297025 + 15376 = 545^2 + 124^2 .

It is a cyclic number.

It is not a de Polignac number, because 312401 - 2² = 312397 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312401.

It is not a weakly prime, because it can be changed into another prime (312407) 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 as a sum of consecutive naturals, namely, 156200 + 156201.

It is an arithmetic number, because the mean of its divisors is an integer number (156201).

2³¹²⁴⁰¹ is an apocalyptic number.

It is an amenable number.

312401 is a deficient number, since it is larger than the sum of its proper divisors (1).

312401 is an equidigital number, since it uses as much as digits as its factorization.

312401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 312401 is about 558.9284390689. The cubic root of 312401 is about 67.8532735955.

Adding to 312401 its reverse (104213), we get a palindrome (416614).

The spelling of 312401 in words is "three hundred twelve thousand, four hundred one", and thus it is an iban number.