213405345 has 48 divisors (see below), whose sum is σ = 391659840. Its totient is φ = 107307648.

The previous prime is 213405343. The next prime is 213405371. The reversal of 213405345 is 543504312.

213405345 is a `hidden beast` number, since 213 + 405 + 3 + 45 = 666.

It is not a de Polignac number, because 213405345 - 2¹ = 213405343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213405341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54214 + ... + 58016.

It is an arithmetic number, because the mean of its divisors is an integer number (8159580).

Almost surely, 2^213405345 is an apocalyptic number.

It is an amenable number.

213405345 is a deficient number, since it is larger than the sum of its proper divisors (178254495).

213405345 is a wasteful number, since it uses less digits than its factorization.

213405345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 213405345 is about 14608.3998096985. The cubic root of 213405345 is about 597.5878572744.

Adding to 213405345 its reverse (543504312), we get a palindrome (756909657).

The spelling of 213405345 in words is "two hundred thirteen million, four hundred five thousand, three hundred forty-five".