312641 has 8 divisors (see below), whose sum is σ = 363840. Its totient is φ = 263088.

The previous prime is 312623. The next prime is 312643. The reversal of 312641 is 146213.

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

It is not a de Polignac number, because 312641 - 2¹⁸ = 50497 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312643) 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 in 7 ways as a sum of consecutive naturals, for example, 35 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (45480).

2³¹²⁶⁴¹ is an apocalyptic number.

It is an amenable number.

312641 is a deficient number, since it is larger than the sum of its proper divisors (51199).

312641 is an equidigital number, since it uses as much as digits as its factorization.

312641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823.

The product of its digits is 144, while the sum is 17.

The square root of 312641 is about 559.1430943864. The cubic root of 312641 is about 67.8706450905.

Adding to 312641 its reverse (146213), we get a palindrome (458854).

The spelling of 312641 in words is "three hundred twelve thousand, six hundred forty-one".