213754829 has 2 divisors, whose sum is σ = 213754830. Its totient is φ = 213754828.

The previous prime is 213754813. The next prime is 213754831. The reversal of 213754829 is 928457312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143161225 + 70593604 = 11965^2 + 8402^2 .

It is a cyclic number.

It is not a de Polignac number, because 213754829 - 2⁴ = 213754813 is a prime.

It is a super-2 number, since 2×213754829² = 91382253841638482, which contains 22 as substring.

Together with 213754831, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213754859) 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, 106877414 + 106877415.

It is an arithmetic number, because the mean of its divisors is an integer number (106877415).

Almost surely, 2^213754829 is an apocalyptic number.

It is an amenable number.

213754829 is a deficient number, since it is larger than the sum of its proper divisors (1).

213754829 is an equidigital number, since it uses as much as digits as its factorization.

213754829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 41.

The square root of 213754829 is about 14620.3566645961. The cubic root of 213754829 is about 597.9138933003.

The spelling of 213754829 in words is "two hundred thirteen million, seven hundred fifty-four thousand, eight hundred twenty-nine".