213001 has 4 divisors (see below), whose sum is σ = 219904. Its totient is φ = 206100.

The previous prime is 212999. The next prime is 213019. The reversal of 213001 is 100312.

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 a cyclic number.

It is not a de Polignac number, because 213001 - 2¹ = 212999 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (213091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3405 + ... + 3466.

It is an arithmetic number, because the mean of its divisors is an integer number (54976).

2²¹³⁰⁰¹ is an apocalyptic number.

It is an amenable number.

213001 is a deficient number, since it is larger than the sum of its proper divisors (6903).

213001 is an equidigital number, since it uses as much as digits as its factorization.

213001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6902.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 213001 is about 461.5203137458. The cubic root of 213001 is about 59.7210196581.

Adding to 213001 its reverse (100312), we get a palindrome (313313).

The spelling of 213001 in words is "two hundred thirteen thousand, one".