213853 has 4 divisors (see below), whose sum is σ = 216640. Its totient is φ = 211068.

The previous prime is 213847. The next prime is 213859. The reversal of 213853 is 358312.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (213847) and next prime (213859).

It is a cyclic number.

It is not a de Polignac number, because 213853 - 2⁵ = 213821 is a prime.

It is a Duffinian number.

213853 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213859) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1275 + ... + 1432.

It is an arithmetic number, because the mean of its divisors is an integer number (54160).

2²¹³⁸⁵³ is an apocalyptic number.

It is an amenable number.

213853 is a deficient number, since it is larger than the sum of its proper divisors (2787).

213853 is an equidigital number, since it uses as much as digits as its factorization.

213853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786.

The product of its digits is 720, while the sum is 22.

The square root of 213853 is about 462.4424288493. The cubic root of 213853 is about 59.8005413761.

The spelling of 213853 in words is "two hundred thirteen thousand, eight hundred fifty-three".