Search a number
-
+
33406781 is a prime number
BaseRepresentation
bin111111101101…
…1111100111101
32022212020111012
41333123330331
532023004111
63152005005
7553644602
oct177337475
968766435
1033406781
1117948011
12b230765
136bc8835
1446186a9
152ded48b
hex1fdbf3d

33406781 has 2 divisors, whose sum is σ = 33406782. Its totient is φ = 33406780.

The previous prime is 33406729. The next prime is 33406783. The reversal of 33406781 is 18760433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23609881 + 9796900 = 4859^2 + 3130^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33406781 is a prime.

It is a super-2 number, since 2×334067812 = 2232026033563922, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 33406783, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33406783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16703390 + 16703391.

It is an arithmetic number, because the mean of its divisors is an integer number (16703391).

Almost surely, 233406781 is an apocalyptic number.

It is an amenable number.

33406781 is a deficient number, since it is larger than the sum of its proper divisors (1).

33406781 is an equidigital number, since it uses as much as digits as its factorization.

33406781 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 33406781 is about 5779.8599464001. The cubic root of 33406781 is about 322.0659979427.

The spelling of 33406781 in words is "thirty-three million, four hundred six thousand, seven hundred eighty-one".