213007 has 4 divisors (see below), whose sum is σ = 217080. Its totient is φ = 208936.

The previous prime is 212999. The next prime is 213019. The reversal of 213007 is 700312.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 213007 - 2³ = 212999 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1957 + ... + 2062.

It is an arithmetic number, because the mean of its divisors is an integer number (54270).

2²¹³⁰⁰⁷ is an apocalyptic number.

213007 is a deficient number, since it is larger than the sum of its proper divisors (4073).

213007 is an equidigital number, since it uses as much as digits as its factorization.

213007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 213007 is about 461.5268139556. The cubic root of 213007 is about 59.7215804109.

Adding to 213007 its reverse (700312), we get a palindrome (913319).

The spelling of 213007 in words is "two hundred thirteen thousand, seven".