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32969 is a prime number
BaseRepresentation
bin1000000011001001
31200020002
420003021
52023334
6412345
7165056
oct100311
950202
1032969
1122852
12170b5
1312011
14c02d
159b7e
hex80c9

32969 has 2 divisors, whose sum is σ = 32970. Its totient is φ = 32968.

The previous prime is 32957. The next prime is 32971. The reversal of 32969 is 96923.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26569 + 6400 = 163^2 + 80^2 .

It is a cyclic number.

It is not a de Polignac number, because 32969 - 28 = 32713 is a prime.

It is a super-2 number, since 2×329692 = 2173909922, which contains 22 as substring.

Together with 32971, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 3 + 215 + 92 + 62 + 92 .

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (32909) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16484 + 16485.

It is an arithmetic number, because the mean of its divisors is an integer number (16485).

232969 is an apocalyptic number.

It is an amenable number.

32969 is a deficient number, since it is larger than the sum of its proper divisors (1).

32969 is an equidigital number, since it uses as much as digits as its factorization.

32969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 29.

The square root of 32969 is about 181.5736765063. The cubic root of 32969 is about 32.0652963589.

It can be divided in two parts, 32 and 969, that added together give a palindrome (1001).

The spelling of 32969 in words is "thirty-two thousand, nine hundred sixty-nine".