363000401 has 2 divisors, whose sum is σ = 363000402. Its totient is φ = 363000400.

The previous prime is 363000361. The next prime is 363000403. The reversal of 363000401 is 104000363.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 338596801 + 24403600 = 18401^2 + 4940^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-363000401 is a prime.

It is a super-2 number, since 2×363000401² = 263538582252321602, which contains 22 as substring.

Together with 363000403, it forms a pair of twin primes.

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 363000401.

It is not a weakly prime, because it can be changed into another prime (363000403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181500200 + 181500201.

It is an arithmetic number, because the mean of its divisors is an integer number (181500201).

Almost surely, 2^363000401 is an apocalyptic number.

It is an amenable number.

363000401 is a deficient number, since it is larger than the sum of its proper divisors (1).

363000401 is an equidigital number, since it uses as much as digits as its factorization.

363000401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 363000401 is about 19052.5694067756. The cubic root of 363000401 is about 713.3495116477.

Adding to 363000401 its reverse (104000363), we get a palindrome (467000764).

The spelling of 363000401 in words is "three hundred sixty-three million, four hundred one", and thus it is an aban number.