213617 has 4 divisors (see below), whose sum is σ = 224880. Its totient is φ = 202356.

The previous prime is 213613. The next prime is 213623. The reversal of 213617 is 716312.

It is a happy number.

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 213617 - 2² = 213613 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213617.

It is not an unprimeable number, because it can be changed into a prime (213611) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5603 + ... + 5640.

It is an arithmetic number, because the mean of its divisors is an integer number (56220).

2²¹³⁶¹⁷ is an apocalyptic number.

It is an amenable number.

213617 is a deficient number, since it is larger than the sum of its proper divisors (11263).

213617 is a wasteful number, since it uses less digits than its factorization.

213617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11262.

The product of its digits is 252, while the sum is 20.

The square root of 213617 is about 462.1871915144. The cubic root of 213617 is about 59.7785354149.

Adding to 213617 its reverse (716312), we get a palindrome (929929).

It can be divided in two parts, 21 and 3617, that multiplied together give a palindrome (75957).

The spelling of 213617 in words is "two hundred thirteen thousand, six hundred seventeen".