213008 has 10 divisors (see below), whose sum is σ = 412734. Its totient is φ = 106496.

The previous prime is 212999. The next prime is 213019. The reversal of 213008 is 800312.

It can be written as a sum of positive squares in only one way, i.e., 169744 + 43264 = 412^2 + 208^2 .

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 212983 and 213001.

It is an unprimeable number.

213008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6641 + ... + 6672.

2²¹³⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

213008 is a deficient number, since it is larger than the sum of its proper divisors (199726).

213008 is a wasteful number, since it uses less digits than its factorization.

213008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13321 (or 13315 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 213008 is about 461.5278973150. The cubic root of 213008 is about 59.7216738687.

The spelling of 213008 in words is "two hundred thirteen thousand, eight".