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1213 is a prime number
BaseRepresentation
bin10010111101
31122221
4102331
514323
65341
73352
oct2275
91587
101213
11a03
12851
13724
14629
1555d
hex4bd

1213 has 2 divisors, whose sum is σ = 1214. Its totient is φ = 1212.

The previous prime is 1201. The next prime is 1217. The reversal of 1213 is 3121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 729 + 484 = 27^2 + 22^2 .

It is an emirp because it is prime and its reverse (3121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1213 - 25 = 1181 is a prime.

It is a plaindrome in base 15 and base 16.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 1196 and 1205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 606 + 607.

It is an arithmetic number, because the mean of its divisors is an integer number (607).

It is an amenable number.

1213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1213 is an equidigital number, since it uses as much as digits as its factorization.

1213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6, while the sum is 7.

The square root of 1213 is about 34.8281495345. The cubic root of 1213 is about 10.6648217295.

The spelling of 1213 in words is "one thousand, two hundred thirteen".