213357829 has 2 divisors, whose sum is σ = 213357830. Its totient is φ = 213357828.

The previous prime is 213357827. The next prime is 213357839. The reversal of 213357829 is 928753312.

213357829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199092100 + 14265729 = 14110^2 + 3777^2 .

It is a cyclic number.

It is not a de Polignac number, because 213357829 - 2¹ = 213357827 is a prime.

Together with 213357827, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 213357791 and 213357800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213357827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106678914 + 106678915.

It is an arithmetic number, because the mean of its divisors is an integer number (106678915).

Almost surely, 2^213357829 is an apocalyptic number.

It is an amenable number.

213357829 is a deficient number, since it is larger than the sum of its proper divisors (1).

213357829 is an equidigital number, since it uses as much as digits as its factorization.

213357829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 90720, while the sum is 40.

The square root of 213357829 is about 14606.7733945591. The cubic root of 213357829 is about 597.5435017900.

The spelling of 213357829 in words is "two hundred thirteen million, three hundred fifty-seven thousand, eight hundred twenty-nine".