213005727 has 16 divisors (see below), whose sum is σ = 344252160. Its totient is φ = 129094200.

The previous prime is 213005671. The next prime is 213005761. The reversal of 213005727 is 727500312.

It is not a de Polignac number, because 213005727 - 2¹⁰ = 213004703 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213005727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213005777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358299 + ... + 358892.

It is an arithmetic number, because the mean of its divisors is an integer number (21515760).

Almost surely, 2^213005727 is an apocalyptic number.

213005727 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

213005727 is a deficient number, since it is larger than the sum of its proper divisors (131246433).

213005727 is a wasteful number, since it uses less digits than its factorization.

213005727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717211 (or 717205 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 213005727 is about 14594.7157217947. The cubic root of 213005727 is about 597.2146143876.

The spelling of 213005727 in words is "two hundred thirteen million, five thousand, seven hundred twenty-seven".