Search a number
-
+
212613 = 3131541
BaseRepresentation
bin110011111010000101
3101210122120
4303322011
523300423
64320153
71543602
oct637205
9353576
10212613
11135815
12a3059
1375a0b
14576a9
1542ee3
hex33e85

212613 has 8 divisors (see below), whose sum is σ = 286176. Its totient is φ = 140400.

The previous prime is 212593. The next prime is 212627. The reversal of 212613 is 316212.

212613 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-212613 is a prime.

212613 is strictly pandigital in base 7.

212613 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 212592 and 212601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (35772).

2212613 is an apocalyptic number.

It is an amenable number.

212613 is a deficient number, since it is larger than the sum of its proper divisors (73563).

212613 is a wasteful number, since it uses less digits than its factorization.

212613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675.

The product of its digits is 72, while the sum is 15.

The square root of 212613 is about 461.0997722836. The cubic root of 212613 is about 59.6847352593.

Adding to 212613 its reverse (316212), we get a palindrome (528825).

The spelling of 212613 in words is "two hundred twelve thousand, six hundred thirteen".

Divisors: 1 3 131 393 541 1623 70871 212613