213633 has 12 divisors (see below), whose sum is σ = 352768. Its totient is φ = 122040.

The previous prime is 213623. The next prime is 213637. The reversal of 213633 is 336312.

It is a happy number.

It is not a de Polignac number, because 213633 - 2¹³ = 205441 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213633.

It is not an unprimeable number, because it can be changed into a prime (213637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1633 + ... + 1758.

2²¹³⁶³³ is an apocalyptic number.

It is an amenable number.

213633 is a deficient number, since it is larger than the sum of its proper divisors (139135).

213633 is a wasteful number, since it uses less digits than its factorization.

213633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3401 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 213633 is about 462.2045001944. The cubic root of 213633 is about 59.7800278565.

Adding to 213633 its reverse (336312), we get a palindrome (549945).

The spelling of 213633 in words is "two hundred thirteen thousand, six hundred thirty-three".