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35969 is a prime number
BaseRepresentation
bin1000110010000001
31211100012
420302001
52122334
6434305
7206603
oct106201
954305
1035969
112502a
1218995
13134ab
14d173
15a9ce
hex8c81

35969 has 2 divisors, whose sum is σ = 35970. Its totient is φ = 35968.

The previous prime is 35963. The next prime is 35977. The reversal of 35969 is 96953.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35344 + 625 = 188^2 + 25^2 .

It is an emirp because it is prime and its reverse (96953) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35969 - 212 = 31873 is a prime.

It is a super-2 number, since 2×359692 = 2587537922, which contains 22 as substring.

It is a Chen prime.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (35963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17984 + 17985.

It is an arithmetic number, because the mean of its divisors is an integer number (17985).

235969 is an apocalyptic number.

It is an amenable number.

35969 is a deficient number, since it is larger than the sum of its proper divisors (1).

35969 is an equidigital number, since it uses as much as digits as its factorization.

35969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7290, while the sum is 32.

The square root of 35969 is about 189.6549498431. The cubic root of 35969 is about 33.0097920130.

Subtracting from 35969 its sum of digits (32), we obtain a cube (35937 = 333).

The spelling of 35969 in words is "thirty-five thousand, nine hundred sixty-nine".