213434007 has 12 divisors (see below), whose sum is σ = 286903800. Its totient is φ = 141129840.

The previous prime is 213433999. The next prime is 213434017. The reversal of 213434007 is 700434312.

It is not a de Polignac number, because 213434007 - 2³ = 213433999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213434017) 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 in 11 ways as a sum of consecutive naturals, for example, 308532 + ... + 309222.

It is an arithmetic number, because the mean of its divisors is an integer number (23908650).

Almost surely, 2^213434007 is an apocalyptic number.

213434007 is a deficient number, since it is larger than the sum of its proper divisors (73469793).

213434007 is an frugal number, since it uses more digits than its factorization.

213434007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 213434007 is about 14609.3807876994. The cubic root of 213434007 is about 597.6146096446.

Adding to 213434007 its reverse (700434312), we get a palindrome (913868319).

The spelling of 213434007 in words is "two hundred thirteen million, four hundred thirty-four thousand, seven".