Search a number
92369 is a prime number

92369 has 2 divisors, whose sum is σ = 92370. Its totient is φ = 92368.

The previous prime is 92363. The next prime is 92377. The reversal of 92369 is 96329.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82369 + 10000 = 287^2 + 100^2 .

It is an emirp because it is prime and its reverse (96329) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 92369 - 24 = 92353 is a prime.

It is a super-2 number, since 2×923692 = 17064064322, which contains 22 as substring.

It is a Chen prime.

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

It is a plaindrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92369.

It is not a weakly prime, because it can be changed into another prime (92363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46184 + 46185.

It is an arithmetic number, because the mean of its divisors is an integer number (46185).

292369 is an apocalyptic number.

It is an amenable number.

92369 is a deficient number, since it is larger than the sum of its proper divisors (1).

92369 is an equidigital number, since it uses as much as digits as its factorization.

92369 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2916, while the sum is 29.

The square root of 92369 is about 303.9226875375. The cubic root of 92369 is about 45.2038488382.

It can be divided in two parts, 9 and 2369, that multiplied together give a triangular number (21321 = T206).

The spelling of 92369 in words is "ninety-two thousand, three hundred sixty-nine".