312601 has 2 divisors, whose sum is σ = 312602. Its totient is φ = 312600.

The previous prime is 312589. The next prime is 312617. The reversal of 312601 is 106213.

312601 is nontrivially palindromic in base 2.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 274576 + 38025 = 524^2 + 195^2 .

It is an emirp because it is prime and its reverse (106213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312601 - 2⁹ = 312089 is a prime.

It is not a weakly prime, because it can be changed into another prime (312101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156300 + 156301.

It is an arithmetic number, because the mean of its divisors is an integer number (156301).

2³¹²⁶⁰¹ is an apocalyptic number.

It is an amenable number.

312601 is a deficient number, since it is larger than the sum of its proper divisors (1).

312601 is an equidigital number, since it uses as much as digits as its factorization.

312601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 312601 is about 559.1073242232. The cubic root of 312601 is about 67.8677504588.

Adding to 312601 its reverse (106213), we get a palindrome (418814).

The spelling of 312601 in words is "three hundred twelve thousand, six hundred one".