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33979969 is a prime number
BaseRepresentation
bin1000000110011…
…1111001000001
32100221100202101
42001213321001
532144324334
63212150401
7561552652
oct201477101
970840671
1033979969
11181a9721
12b468401
1370696ba
144727529
152eb3214
hex2067e41

33979969 has 2 divisors, whose sum is σ = 33979970. Its totient is φ = 33979968.

The previous prime is 33979963. The next prime is 33979997. The reversal of 33979969 is 96997933.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20584369 + 13395600 = 4537^2 + 3660^2 .

It is an emirp because it is prime and its reverse (96997933) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33979969 - 211 = 33977921 is a prime.

It is a super-2 number, since 2×339799692 = 2309276586481922, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33979963) 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, 16989984 + 16989985.

It is an arithmetic number, because the mean of its divisors is an integer number (16989985).

Almost surely, 233979969 is an apocalyptic number.

It is an amenable number.

33979969 is a deficient number, since it is larger than the sum of its proper divisors (1).

33979969 is an equidigital number, since it uses as much as digits as its factorization.

33979969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2480058, while the sum is 55.

The square root of 33979969 is about 5829.2339977050. The cubic root of 33979969 is about 323.8975473709.

It can be divided in two parts, 3397 and 9969, that added together give a triangular number (13366 = T163).

The spelling of 33979969 in words is "thirty-three million, nine hundred seventy-nine thousand, nine hundred sixty-nine".