213129793 has 2 divisors, whose sum is σ = 213129794. Its totient is φ = 213129792.

The previous prime is 213129781. The next prime is 213129811. The reversal of 213129793 is 397921312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201412864 + 11716929 = 14192^2 + 3423^2 .

It is a cyclic number.

It is not a de Polignac number, because 213129793 - 2²¹ = 211032641 is a prime.

It is equal to p_11764792 and since 213129793 and 11764792 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (213129703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106564896 + 106564897.

It is an arithmetic number, because the mean of its divisors is an integer number (106564897).

Almost surely, 2^213129793 is an apocalyptic number.

It is an amenable number.

213129793 is a deficient number, since it is larger than the sum of its proper divisors (1).

213129793 is an equidigital number, since it uses as much as digits as its factorization.

213129793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20412, while the sum is 37.

The square root of 213129793 is about 14598.9654770467. The cubic root of 213129793 is about 597.3305418615.

The spelling of 213129793 in words is "two hundred thirteen million, one hundred twenty-nine thousand, seven hundred ninety-three".