213405435 has 40 divisors (see below), whose sum is σ = 402697680. Its totient is φ = 107822016.

The previous prime is 213405421. The next prime is 213405463. The reversal of 213405435 is 534504312.

213405435 is a `hidden beast` number, since 213 + 405 + 43 + 5 = 666.

It is not a de Polignac number, because 213405435 - 2⁶ = 213405371 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213405399 and 213405408.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 6172 + ... + 21561.

It is an arithmetic number, because the mean of its divisors is an integer number (10067442).

Almost surely, 2^213405435 is an apocalyptic number.

213405435 is a deficient number, since it is larger than the sum of its proper divisors (189292245).

213405435 is a wasteful number, since it uses less digits than its factorization.

213405435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27769 (or 27760 counting only the distinct ones).

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

The square root of 213405435 is about 14608.4028901177. The cubic root of 213405435 is about 597.5879412818.

Adding to 213405435 its reverse (534504312), we get a palindrome (747909747).

The spelling of 213405435 in words is "two hundred thirteen million, four hundred five thousand, four hundred thirty-five".