213905 has 8 divisors (see below), whose sum is σ = 259200. Its totient is φ = 169456.

The previous prime is 213901. The next prime is 213919. The reversal of 213905 is 509312.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213905 - 2² = 213901 is a prime.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213905.

It is not an unprimeable number, because it can be changed into a prime (213901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 776 + ... + 1014.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2²¹³⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

213905 is a deficient number, since it is larger than the sum of its proper divisors (45295).

213905 is a wasteful number, since it uses less digits than its factorization.

213905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 213905 is about 462.4986486467. The cubic root of 213905 is about 59.8053879703.

The spelling of 213905 in words is "two hundred thirteen thousand, nine hundred five".