Search a number
312841 is a prime number
BaseRepresentation
bin1001100011000001001
3120220010201
41030120021
540002331
610412201
72442034
oct1143011
9526121
10312841
111a4051
12131061
13ac519
148201b
1562a61
hex4c609

312841 has 2 divisors, whose sum is σ = 312842. Its totient is φ = 312840.

The previous prime is 312839. The next prime is 312857. The reversal of 312841 is 148213.

312841 = 3952 + 3962.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 156816 + 156025 = 396^2 + 395^2 .

It is a cyclic number.

It is not a de Polignac number, because 312841 - 21 = 312839 is a prime.

Together with 312839, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312241) 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, 156420 + 156421.

It is an arithmetic number, because the mean of its divisors is an integer number (156421).

2312841 is an apocalyptic number.

312841 is the 396-th centered square number.

It is an amenable number.

312841 is a deficient number, since it is larger than the sum of its proper divisors (1).

312841 is an equidigital number, since it uses as much as digits as its factorization.

312841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192, while the sum is 19.

The square root of 312841 is about 559.3219108885. The cubic root of 312841 is about 67.8851145464.

The spelling of 312841 in words is "three hundred twelve thousand, eight hundred forty-one".