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27337213 is a prime number
BaseRepresentation
bin110100001001…
…0000111111101
31220102212121101
41220102013331
523444242323
62413533101
7451235221
oct150220775
956385541
1027337213
1114481942
1291a4191
135881c87
1438b8781
1525eedad
hex1a121fd

27337213 has 2 divisors, whose sum is σ = 27337214. Its totient is φ = 27337212.

The previous prime is 27337183. The next prime is 27337223. The reversal of 27337213 is 31273372.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24423364 + 2913849 = 4942^2 + 1707^2 .

It is a cyclic number.

It is not a de Polignac number, because 27337213 - 213 = 27329021 is a prime.

It is the 5229-th Hogben number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27337223) by changing a digit.

It is a nontrivial repunit in base 5228.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13668606 + 13668607.

It is an arithmetic number, because the mean of its divisors is an integer number (13668607).

Almost surely, 227337213 is an apocalyptic number.

It is an amenable number.

27337213 is a deficient number, since it is larger than the sum of its proper divisors (1).

27337213 is an equidigital number, since it uses as much as digits as its factorization.

27337213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5292, while the sum is 28.

The square root of 27337213 is about 5228.5000717223. The cubic root of 27337213 is about 301.2437733371.

Subtracting from 27337213 its product of digits (5292), we obtain a triangular number (27331921 = T7393).

The spelling of 27337213 in words is "twenty-seven million, three hundred thirty-seven thousand, two hundred thirteen".