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312413 is a prime number
BaseRepresentation
bin1001100010001011101
3120212112212
41030101131
534444123
610410205
72440553
oct1142135
9525485
10312413
111a37a2
12130965
13ac27a
1481bd3
1562878
hex4c45d

312413 has 2 divisors, whose sum is σ = 312414. Its totient is φ = 312412.

The previous prime is 312407. The next prime is 312427. The reversal of 312413 is 314213.

Adding to 312413 its reverse (314213), we get a palindrome (626626).

It is an a-pointer prime, because the next prime (312427) can be obtained adding 312413 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 232324 + 80089 = 482^2 + 283^2 .

It is an emirp because it is prime and its reverse (314213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312413 - 24 = 312397 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156206 + 156207.

It is an arithmetic number, because the mean of its divisors is an integer number (156207).

2312413 is an apocalyptic number.

It is an amenable number.

312413 is a deficient number, since it is larger than the sum of its proper divisors (1).

312413 is an equidigital number, since it uses as much as digits as its factorization.

312413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 14.

The square root of 312413 is about 558.9391737926. The cubic root of 312413 is about 67.8541423815.

The spelling of 312413 in words is "three hundred twelve thousand, four hundred thirteen".