9006361 has 16 divisors (see below), whose sum is σ = 11670400. Its totient is φ = 6749568.

The previous prime is 9006359. The next prime is 9006373. The reversal of 9006361 is 1636009.

It is not a de Polignac number, because 9006361 - 2¹ = 9006359 is a prime.

It is a super-2 number, since 2×9006361² = 162229076924642, which contains 22 as substring.

9006361 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9006391) 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 in 15 ways as a sum of consecutive naturals, for example, 876 + ... + 4333.

It is an arithmetic number, because the mean of its divisors is an integer number (729400).

Almost surely, 2^9006361 is an apocalyptic number.

9006361 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

9006361 is a deficient number, since it is larger than the sum of its proper divisors (2664039).

9006361 is a wasteful number, since it uses less digits than its factorization.

9006361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 9006361 is about 3001.0599794073. The cubic root of 9006361 is about 208.0573759985.

The spelling of 9006361 in words is "nine million, six thousand, three hundred sixty-one".