11517961 has 16 divisors (see below), whose sum is σ = 14482944. Its totient is φ = 8915904.

The previous prime is 11517953. The next prime is 11517973. The reversal of 11517961 is 16971511.

It is a cyclic number.

It is not a de Polignac number, because 11517961 - 2³ = 11517953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11517911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2931 + ... + 5623.

It is an arithmetic number, because the mean of its divisors is an integer number (905184).

Almost surely, 2^11517961 is an apocalyptic number.

It is an amenable number.

11517961 is a deficient number, since it is larger than the sum of its proper divisors (2964983).

11517961 is a wasteful number, since it uses less digits than its factorization.

11517961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760.

The product of its digits is 1890, while the sum is 31.

The square root of 11517961 is about 3393.8121633349. The cubic root of 11517961 is about 225.8353213365.

The spelling of 11517961 in words is "eleven million, five hundred seventeen thousand, nine hundred sixty-one".