213867 has 12 divisors (see below), whose sum is σ = 320440. Its totient is φ = 140976.

The previous prime is 213859. The next prime is 213881. The reversal of 213867 is 768312.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 213867 - 2³ = 213859 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213867.

It is not an unprimeable number, because it can be changed into a prime (213827) 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, 2359 + ... + 2447.

2²¹³⁸⁶⁷ is an apocalyptic number.

213867 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

213867 is a deficient number, since it is larger than the sum of its proper divisors (106573).

213867 is an frugal number, since it uses more digits than its factorization.

213867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 92 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 213867 is about 462.4575656209. The cubic root of 213867 is about 59.8018463056.

Multiplying 213867 by its sum of digits (27), we get a square (5774409 = 2403²).

213867 divided by its sum of digits (27) gives a square (7921 = 89²).

The spelling of 213867 in words is "two hundred thirteen thousand, eight hundred sixty-seven".