Search a number
-
+
83766733 is a prime number
BaseRepresentation
bin1001111111000…
…10110111001101
312211121210100121
410333202313031
5132421013413
612151224541
72035001611
oct477426715
9184553317
1083766733
1143314206
1224078151
131447ba1b
14b1a7341
157549b8d
hex4fe2dcd

83766733 has 2 divisors, whose sum is σ = 83766734. Its totient is φ = 83766732.

The previous prime is 83766721. The next prime is 83766751. The reversal of 83766733 is 33766738.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74874409 + 8892324 = 8653^2 + 2982^2 .

It is a cyclic number.

It is not a de Polignac number, because 83766733 - 225 = 50212301 is a prime.

It is a super-3 number, since 3×837667333 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83766733.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83766833) 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, 41883366 + 41883367.

It is an arithmetic number, because the mean of its divisors is an integer number (41883367).

Almost surely, 283766733 is an apocalyptic number.

It is an amenable number.

83766733 is a deficient number, since it is larger than the sum of its proper divisors (1).

83766733 is an equidigital number, since it uses as much as digits as its factorization.

83766733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 381024, while the sum is 43.

The square root of 83766733 is about 9152.4167846531. The cubic root of 83766733 is about 437.5461423986.

The spelling of 83766733 in words is "eighty-three million, seven hundred sixty-six thousand, seven hundred thirty-three".