11761617 has 48 divisors (see below), whose sum is σ = 19699200. Its totient is φ = 6209280.

The previous prime is 11761577. The next prime is 11761639. The reversal of 11761617 is 71616711.

It is not a de Polignac number, because 11761617 - 2¹² = 11757521 is a prime.

11761617 is a modest number, since divided by 1617 gives 1176 as remainder.

It is not an unprimeable number, because it can be changed into a prime (11761657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132109 + ... + 132197.

It is an arithmetic number, because the mean of its divisors is an integer number (410400).

Almost surely, 2^11761617 is an apocalyptic number.

It is an amenable number.

11761617 is a deficient number, since it is larger than the sum of its proper divisors (7937583).

11761617 is a wasteful number, since it uses less digits than its factorization.

11761617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 159 counting only the distinct ones).

The product of its digits is 1764, while the sum is 30.

The square root of 11761617 is about 3429.5213951804. The cubic root of 11761617 is about 227.4166953380.

The spelling of 11761617 in words is "eleven million, seven hundred sixty-one thousand, six hundred seventeen".