10000361 has 12 divisors (see below), whose sum is σ = 11731968. Its totient is φ = 8498952.

The previous prime is 10000357. The next prime is 10000363. The reversal of 10000361 is 16300001.

It is not a de Polignac number, because 10000361 - 2² = 10000357 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10000363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5420 + ... + 7026.

It is an arithmetic number, because the mean of its divisors is an integer number (977664).

Almost surely, 2^10000361 is an apocalyptic number.

It is an amenable number.

10000361 is a deficient number, since it is larger than the sum of its proper divisors (1731607).

10000361 is a wasteful number, since it uses less digits than its factorization.

10000361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1741 counting only the distinct ones).

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

The square root of 10000361 is about 3162.3347387650. The cubic root of 10000361 is about 215.4460614751.

Adding to 10000361 its reverse (16300001), we get a palindrome (26300362).

It can be divided in two parts, 10000 and 361, that multiplied together give a square (3610000 = 1900²).

The spelling of 10000361 in words is "ten million, three hundred sixty-one", and thus it is an aban number.