213016 has 8 divisors (see below), whose sum is σ = 399420. Its totient is φ = 106504.

The previous prime is 212999. The next prime is 213019. The reversal of 213016 is 610312.

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 212987 and 213005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213019) by changing a digit.

213016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 13306 + ... + 13321.

2²¹³⁰¹⁶ is an apocalyptic number.

It is an amenable number.

213016 is a deficient number, since it is larger than the sum of its proper divisors (186404).

213016 is a wasteful number, since it uses less digits than its factorization.

213016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26633 (or 26629 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 213016 is about 461.5365640987. The cubic root of 213016 is about 59.7224215205.

Adding to 213016 its reverse (610312), we get a palindrome (823328).

It can be divided in two parts, 21 and 3016, that multiplied together give a palindrome (63336).

The spelling of 213016 in words is "two hundred thirteen thousand, sixteen".