213753 has 8 divisors (see below), whose sum is σ = 291808. Its totient is φ = 139104.

The previous prime is 213751. The next prime is 213791. The reversal of 213753 is 357312.

It is a happy number.

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

It is not a de Polignac number, because 213753 - 2¹ = 213751 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213751) 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, 700 + ... + 957.

It is an arithmetic number, because the mean of its divisors is an integer number (36476).

2²¹³⁷⁵³ is an apocalyptic number.

It is an amenable number.

213753 is a deficient number, since it is larger than the sum of its proper divisors (78055).

213753 is a wasteful number, since it uses less digits than its factorization.

213753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703.

The product of its digits is 630, while the sum is 21.

The square root of 213753 is about 462.3342946397. The cubic root of 213753 is about 59.7912187939.

The spelling of 213753 in words is "two hundred thirteen thousand, seven hundred fifty-three".