213845301 has 12 divisors (see below), whose sum is σ = 314716428. Its totient is φ = 139873344.

The previous prime is 213845297. The next prime is 213845309. The reversal of 213845301 is 103548312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 164480625 + 49364676 = 12825^2 + 7026^2 .

It is not a de Polignac number, because 213845301 - 2² = 213845297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213845309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223680 + ... + 224633.

It is an arithmetic number, because the mean of its divisors is an integer number (26226369).

Almost surely, 2^213845301 is an apocalyptic number.

It is an amenable number.

213845301 is a deficient number, since it is larger than the sum of its proper divisors (100871127).

213845301 is a wasteful number, since it uses less digits than its factorization.

213845301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448372 (or 448369 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 213845301 is about 14623.4503794419. The cubic root of 213845301 is about 597.9982373374.

The spelling of 213845301 in words is "two hundred thirteen million, eight hundred forty-five thousand, three hundred one".