362749 has 2 divisors, whose sum is σ = 362750. Its totient is φ = 362748.

The previous prime is 362743. The next prime is 362753. The reversal of 362749 is 947263.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 338724 + 24025 = 582^2 + 155^2 .

It is an emirp because it is prime and its reverse (947263) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 362749 - 2³ = 362741 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 362749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (362741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181374 + 181375.

It is an arithmetic number, because the mean of its divisors is an integer number (181375).

2³⁶²⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

362749 is a deficient number, since it is larger than the sum of its proper divisors (1).

362749 is an equidigital number, since it uses as much as digits as its factorization.

362749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 31.

The square root of 362749 is about 602.2864766870. The cubic root of 362749 is about 71.3184793559.

It can be divided in two parts, 362 and 749, that added together give a palindrome (1111).

The spelling of 362749 in words is "three hundred sixty-two thousand, seven hundred forty-nine".