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213097 is a prime number
BaseRepresentation
bin110100000001101001
3101211022111
4310001221
523304342
64322321
71545163
oct640151
9354274
10213097
11136115
12a33a1
1375cc1
1457933
1543217
hex34069

213097 has 2 divisors, whose sum is σ = 213098. Its totient is φ = 213096.

The previous prime is 213091. The next prime is 213119. The reversal of 213097 is 790312.

It is an a-pointer prime, because the next prime (213119) can be obtained adding 213097 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212521 + 576 = 461^2 + 24^2 .

It is a cyclic number.

It is not a de Polignac number, because 213097 - 27 = 212969 is a prime.

It is not a weakly prime, because it can be changed into another prime (213091) 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 as a sum of consecutive naturals, namely, 106548 + 106549.

It is an arithmetic number, because the mean of its divisors is an integer number (106549).

2213097 is an apocalyptic number.

It is an amenable number.

213097 is a deficient number, since it is larger than the sum of its proper divisors (1).

213097 is an equidigital number, since it uses as much as digits as its factorization.

213097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 213097 is about 461.6243061192. The cubic root of 213097 is about 59.7299904404.

It can be divided in two parts, 21309 and 7, that added together give a square (21316 = 1462).

The spelling of 213097 in words is "two hundred thirteen thousand, ninety-seven".