11627 has 8 divisors (see below), whose sum is σ = 14592. Its totient is φ = 9000.

The previous prime is 11621. The next prime is 11633. The reversal of 11627 is 72611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11621) and next prime (11633).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11627 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (11621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2 + ... + 152.

It is an arithmetic number, because the mean of its divisors is an integer number (1824).

2¹¹⁶²⁷ is an apocalyptic number.

11627 is a deficient number, since it is larger than the sum of its proper divisors (2965).

11627 is a wasteful number, since it uses less digits than its factorization.

11627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169.

The product of its digits is 84, while the sum is 17.

The square root of 11627 is about 107.8285676433. The cubic root of 11627 is about 22.6545735184.

Adding to 11627 its product of digits (84), we get a palindrome (11711).

The spelling of 11627 in words is "eleven thousand, six hundred twenty-seven".