361001 has 2 divisors, whose sum is σ = 361002. Its totient is φ = 361000.

The previous prime is 360989. The next prime is 361003. The reversal of 361001 is 100163.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 270400 + 90601 = 520^2 + 301^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-361001 is a prime.

Together with 361003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (361003) 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, 180500 + 180501.

It is an arithmetic number, because the mean of its divisors is an integer number (180501).

2³⁶¹⁰⁰¹ is an apocalyptic number.

It is an amenable number.

361001 is a deficient number, since it is larger than the sum of its proper divisors (1).

361001 is an equidigital number, since it uses as much as digits as its factorization.

361001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 361001 is about 600.8335876097. The cubic root of 361001 is about 71.2037393357.

Adding to 361001 its reverse (100163), we get a palindrome (461164).

The spelling of 361001 in words is "three hundred sixty-one thousand, one".