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213297 = 3721451
BaseRepresentation
bin110100000100110001
3101211120220
4310010301
523311142
64323253
71545600
oct640461
9354526
10213297
11136287
12a3529
1376116
1457a37
15432ec
hex34131

213297 has 12 divisors (see below), whose sum is σ = 331056. Its totient is φ = 121800.

The previous prime is 213289. The next prime is 213307. The reversal of 213297 is 792312.

It is not a de Polignac number, because 213297 - 23 = 213289 is a prime.

It is a super-2 number, since 2×2132972 = 90991220418, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (213217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (27588).

2213297 is an apocalyptic number.

It is an amenable number.

213297 is a deficient number, since it is larger than the sum of its proper divisors (117759).

213297 is a wasteful number, since it uses less digits than its factorization.

213297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1461 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 213297 is about 461.8408816898. The cubic root of 213297 is about 59.7486709204.

The spelling of 213297 in words is "two hundred thirteen thousand, two hundred ninety-seven".

Divisors: 1 3 7 21 49 147 1451 4353 10157 30471 71099 213297