Search a number
-
+
76369 is a prime number
BaseRepresentation
bin10010101001010001
310212202111
4102221101
54420434
61345321
7435436
oct225121
9125674
1076369
1152417
1238241
13289b7
141db8d
1517964
hex12a51

76369 has 2 divisors, whose sum is σ = 76370. Its totient is φ = 76368.

The previous prime is 76367. The next prime is 76379. The reversal of 76369 is 96367.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 18769 = 240^2 + 137^2 .

It is a cyclic number.

It is not a de Polignac number, because 76369 - 21 = 76367 is a prime.

It is a super-2 number, since 2×763692 = 11664448322, which contains 22 as substring.

Together with 76367, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 75 + 63 + 310 + 63 + 92 .

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 76369.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (76367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38184 + 38185.

It is an arithmetic number, because the mean of its divisors is an integer number (38185).

276369 is an apocalyptic number.

It is an amenable number.

76369 is a deficient number, since it is larger than the sum of its proper divisors (1).

76369 is an equidigital number, since it uses as much as digits as its factorization.

76369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 31.

The square root of 76369 is about 276.3494165002. The cubic root of 76369 is about 42.4266786531.

The spelling of 76369 in words is "seventy-six thousand, three hundred sixty-nine".