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213521 = 7114759
BaseRepresentation
bin110100001000010001
3101211220012
4310020101
523313041
64324305
71546340
oct641021
9354805
10213521
11136470
12a3695
1376259
1457b57
15433eb
hex34211

213521 has 16 divisors (see below), whose sum is σ = 276480. Its totient is φ = 160080.

The previous prime is 213491. The next prime is 213523. The reversal of 213521 is 125312.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 213521 - 214 = 197137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213496 and 213505.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213521.

It is not an unprimeable number, because it can be changed into a prime (213523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3590 + ... + 3648.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2213521 is an apocalyptic number.

It is an amenable number.

213521 is a deficient number, since it is larger than the sum of its proper divisors (62959).

213521 is a wasteful number, since it uses less digits than its factorization.

213521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124.

The product of its digits is 60, while the sum is 14.

The square root of 213521 is about 462.0833258191. The cubic root of 213521 is about 59.7695792000.

Adding to 213521 its reverse (125312), we get a palindrome (338833).

Subtracting from 213521 its reverse (125312), we obtain a square (88209 = 2972).

The spelling of 213521 in words is "two hundred thirteen thousand, five hundred twenty-one".

Divisors: 1 7 11 47 59 77 329 413 517 649 2773 3619 4543 19411 30503 213521