213282737 has 2 divisors, whose sum is σ = 213282738. Its totient is φ = 213282736.

The previous prime is 213282701. The next prime is 213282739. The reversal of 213282737 is 737282312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182358016 + 30924721 = 13504^2 + 5561^2 .

It is a cyclic number.

It is not a de Polignac number, because 213282737 - 2⁶ = 213282673 is a prime.

It is a super-2 number, since 2×213282737² = 90979051804422338, which contains 22 as substring.

Together with 213282739, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 213282697 and 213282706.

It is not a weakly prime, because it can be changed into another prime (213282739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106641368 + 106641369.

It is an arithmetic number, because the mean of its divisors is an integer number (106641369).

Almost surely, 2^213282737 is an apocalyptic number.

It is an amenable number.

213282737 is a deficient number, since it is larger than the sum of its proper divisors (1).

213282737 is an equidigital number, since it uses as much as digits as its factorization.

213282737 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28224, while the sum is 35.

The square root of 213282737 is about 14604.2027170264. The cubic root of 213282737 is about 597.4733910876.

The spelling of 213282737 in words is "two hundred thirteen million, two hundred eighty-two thousand, seven hundred thirty-seven".