213801 has 8 divisors (see below), whose sum is σ = 325824. Its totient is φ = 122160.

The previous prime is 213799. The next prime is 213821. The reversal of 213801 is 108312.

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 213801 - 2¹ = 213799 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213801.

It is not an unprimeable number, because it can be changed into a prime (213821) 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, 5070 + ... + 5111.

It is an arithmetic number, because the mean of its divisors is an integer number (40728).

2²¹³⁸⁰¹ is an apocalyptic number.

213801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213801 is a deficient number, since it is larger than the sum of its proper divisors (112023).

213801 is a wasteful number, since it uses less digits than its factorization.

213801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10191.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 213801 is about 462.3862022163. The cubic root of 213801 is about 59.7956939961.

The spelling of 213801 in words is "two hundred thirteen thousand, eight hundred one".