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213325 = 5272353
BaseRepresentation
bin110100000101001101
3101211121221
4310011031
523311300
64323341
71545640
oct640515
9354557
10213325
11136302
12a3551
1376138
1457a57
154331a
hex3414d

213325 has 24 divisors (see below), whose sum is σ = 321408. Its totient is φ = 137280.

The previous prime is 213319. The next prime is 213329. The reversal of 213325 is 523312.

It is not a de Polignac number, because 213325 - 213 = 205133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213299 and 213308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3999 + ... + 4051.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2213325 is an apocalyptic number.

213325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213325 is a deficient number, since it is larger than the sum of its proper divisors (108083).

213325 is a wasteful number, since it uses less digits than its factorization.

213325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 88 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The square root of 213325 is about 461.8711941656. The cubic root of 213325 is about 59.7512852556.

Adding to 213325 its reverse (523312), we get a palindrome (736637).

The spelling of 213325 in words is "two hundred thirteen thousand, three hundred twenty-five".

Divisors: 1 5 7 23 25 35 53 115 161 175 265 371 575 805 1219 1325 1855 4025 6095 8533 9275 30475 42665 213325