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367 is a prime number

367 has 2 divisors, whose sum is σ = 368. Its totient is φ = 366.

The previous prime is 359. The next prime is 373. The reversal of 367 is 763.

It is a happy number.

It is a strong prime.

367 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 367 - 23 = 359 is a prime.

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

It is the 21-st Perrin number.

367 is a lucky number.

It is a plaindrome in base 4, base 8, base 9, base 10, base 12, base 13 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 367.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (307) 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, 183 + 184.

It is an arithmetic number, because the mean of its divisors is an integer number (184).

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

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

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

The product of its digits is 126, while the sum is 16.

The square root of 367 is about 19.1572440607. The cubic root of 367 is about 7.1595988248.

Adding to 367 its sum of digits (16), we get a palindrome (383).

Subtracting from 367 its sum of digits (16), we obtain a triangular number (351 = T26).

It can be divided in two parts, 36 and 7, that multiplied together give a palindrome (252).

The spelling of 367 in words is "three hundred sixty-seven", and thus it is an aban number and an oban number.