Search a number
-
+
33337981 is a prime number
BaseRepresentation
bin111111100101…
…1001001111101
32022201202010001
41333023021331
532013303411
63150314301
7553240165
oct177131175
968652101
1033337981
1117900356
12b1b8991
136ba3421
1445db5a5
152dd7dc1
hex1fcb27d

33337981 has 2 divisors, whose sum is σ = 33337982. Its totient is φ = 33337980.

The previous prime is 33337957. The next prime is 33338021. The reversal of 33337981 is 18973333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26101881 + 7236100 = 5109^2 + 2690^2 .

It is a cyclic number.

It is not a de Polignac number, because 33337981 - 27 = 33337853 is a prime.

It is a super-2 number, since 2×333379812 = 2222841954312722, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33337981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33337081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16668990 + 16668991.

It is an arithmetic number, because the mean of its divisors is an integer number (16668991).

Almost surely, 233337981 is an apocalyptic number.

It is an amenable number.

33337981 is a deficient number, since it is larger than the sum of its proper divisors (1).

33337981 is an equidigital number, since it uses as much as digits as its factorization.

33337981 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40824, while the sum is 37.

The square root of 33337981 is about 5773.9051776073. The cubic root of 33337981 is about 321.8447517495.

The spelling of 33337981 in words is "thirty-three million, three hundred thirty-seven thousand, nine hundred eighty-one".