213002729 has 2 divisors, whose sum is σ = 213002730. Its totient is φ = 213002728.

The previous prime is 213002719. The next prime is 213002737. The reversal of 213002729 is 927200312.

213002729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180284329 + 32718400 = 13427^2 + 5720^2 .

It is a cyclic number.

It is not a de Polignac number, because 213002729 - 2⁸ = 213002473 is a prime.

It is a super-2 number, since 2×213002729² = 90740325122894882, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 213002698 and 213002707.

It is not a weakly prime, because it can be changed into another prime (213002719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106501364 + 106501365.

It is an arithmetic number, because the mean of its divisors is an integer number (106501365).

Almost surely, 2^213002729 is an apocalyptic number.

It is an amenable number.

213002729 is a deficient number, since it is larger than the sum of its proper divisors (1).

213002729 is an equidigital number, since it uses as much as digits as its factorization.

213002729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 213002729 is about 14594.6130130264. The cubic root of 213002729 is about 597.2118124946.

The spelling of 213002729 in words is "two hundred thirteen million, two thousand, seven hundred twenty-nine".