Search a number
-
+
33032969 is a prime number
BaseRepresentation
bin111111000000…
…0101100001001
32022011020201022
41332000230021
531424023334
63140002225
7550530014
oct176005411
968136638
1033032969
1117712182
12b090375
136ac7648
14455c37b
152d7782e
hex1f80b09

33032969 has 2 divisors, whose sum is σ = 33032970. Its totient is φ = 33032968.

The previous prime is 33032953. The next prime is 33032983. The reversal of 33032969 is 96923033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21977344 + 11055625 = 4688^2 + 3325^2 .

It is an emirp because it is prime and its reverse (96923033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33032969 - 24 = 33032953 is a prime.

It is a super-2 number, since 2×330329692 = 2182354081909922, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33032929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16516484 + 16516485.

It is an arithmetic number, because the mean of its divisors is an integer number (16516485).

Almost surely, 233032969 is an apocalyptic number.

It is an amenable number.

33032969 is a deficient number, since it is larger than the sum of its proper divisors (1).

33032969 is an equidigital number, since it uses as much as digits as its factorization.

33032969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 35.

The square root of 33032969 is about 5747.4315132936. The cubic root of 33032969 is about 320.8602148200.

The spelling of 33032969 in words is "thirty-three million, thirty-two thousand, nine hundred sixty-nine".