11627201 has 8 divisors (see below), whose sum is σ = 12708864. Its totient is φ = 10589760.

The previous prime is 11627197. The next prime is 11627219. The reversal of 11627201 is 10272611.

11627201 = 819² + 820² + ... + 835².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11627201 - 2² = 11627197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11627251) 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 7 ways as a sum of consecutive naturals, for example, 10505 + ... + 11558.

It is an arithmetic number, because the mean of its divisors is an integer number (1588608).

Almost surely, 2^11627201 is an apocalyptic number.

It is an amenable number.

11627201 is a deficient number, since it is larger than the sum of its proper divisors (1081663).

11627201 is a wasteful number, since it uses less digits than its factorization.

11627201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22111.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 11627201 is about 3409.8681792703. The cubic root of 11627201 is about 226.5470406352.

Adding to 11627201 its reverse (10272611), we get a palindrome (21899812).

The spelling of 11627201 in words is "eleven million, six hundred twenty-seven thousand, two hundred one".