11641617 has 32 divisors (see below), whose sum is σ = 19676160. Its totient is φ = 6739200.

The previous prime is 11641613. The next prime is 11641621. The reversal of 11641617 is 71614611.

11641617 is a `hidden beast` number, since 1 + 1 + 6 + 41 + 617 = 666.

It is an interprime number because it is at equal distance from previous prime (11641613) and next prime (11641621).

It is not a de Polignac number, because 11641617 - 2² = 11641613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11641613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4992 + ... + 6942.

It is an arithmetic number, because the mean of its divisors is an integer number (614880).

Almost surely, 2^11641617 is an apocalyptic number.

11641617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11641617 is a deficient number, since it is larger than the sum of its proper divisors (8034543).

11641617 is a wasteful number, since it uses less digits than its factorization.

11641617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1984 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 11641617 is about 3411.9813891638. The cubic root of 11641617 is about 226.6406301793.

The spelling of 11641617 in words is "eleven million, six hundred forty-one thousand, six hundred seventeen".