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97213 is a prime number
BaseRepresentation
bin10111101110111101
311221100111
4113232331
511102323
62030021
7553264
oct275675
9157314
1097213
1167046
1248311
133532c
14275db
151dc0d
hex17bbd

97213 has 2 divisors, whose sum is σ = 97214. Its totient is φ = 97212.

The previous prime is 97187. The next prime is 97231. The reversal of 97213 is 31279.

97213 is nontrivially palindromic in base 2.

Together with next prime (97231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79524 + 17689 = 282^2 + 133^2 .

It is a cyclic number.

It is not a de Polignac number, because 97213 - 213 = 89021 is a prime.

97213 is a lucky number.

It is a plaindrome in base 16.

It is a zygodrome in base 3.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48606 + 48607.

It is an arithmetic number, because the mean of its divisors is an integer number (48607).

297213 is an apocalyptic number.

It is an amenable number.

97213 is a deficient number, since it is larger than the sum of its proper divisors (1).

97213 is an equidigital number, since it uses as much as digits as its factorization.

97213 is an odious number, because the sum of its binary digits is odd.

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

The square root of 97213 is about 311.7899934251. The cubic root of 97213 is about 45.9806156511.

The spelling of 97213 in words is "ninety-seven thousand, two hundred thirteen".