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165017213 is a prime number
BaseRepresentation
bin10011101010111…
…11011001111101
3102111111202001122
421311133121331
5314221022323
624212520325
74042423514
oct1165373175
9374452048
10165017213
1185169969
12473200a5
132825932a
1417cb767b
15e748ec8
hex9d5f67d

165017213 has 2 divisors, whose sum is σ = 165017214. Its totient is φ = 165017212.

The previous prime is 165017207. The next prime is 165017231. The reversal of 165017213 is 312710561.

Together with next prime (165017231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 157076089 + 7941124 = 12533^2 + 2818^2 .

It is a cyclic number.

It is not a de Polignac number, because 165017213 - 212 = 165013117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165047213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82508606 + 82508607.

It is an arithmetic number, because the mean of its divisors is an integer number (82508607).

Almost surely, 2165017213 is an apocalyptic number.

It is an amenable number.

165017213 is a deficient number, since it is larger than the sum of its proper divisors (1).

165017213 is an equidigital number, since it uses as much as digits as its factorization.

165017213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 165017213 is about 12845.9025763081. The cubic root of 165017213 is about 548.4997273023.

Adding to 165017213 its reverse (312710561), we get a palindrome (477727774).

The spelling of 165017213 in words is "one hundred sixty-five million, seventeen thousand, two hundred thirteen".