11577657 has 16 divisors (see below), whose sum is σ = 18999680. Its totient is φ = 6106752.

The previous prime is 11577647. The next prime is 11577659. The reversal of 11577657 is 75677511.

It is not a de Polignac number, because 11577657 - 2¹⁰ = 11576633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (11577659) 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 15 ways as a sum of consecutive naturals, for example, 20932 + ... + 21477.

It is an arithmetic number, because the mean of its divisors is an integer number (1187480).

Almost surely, 2^11577657 is an apocalyptic number.

It is an amenable number.

11577657 is a deficient number, since it is larger than the sum of its proper divisors (7422023).

11577657 is a wasteful number, since it uses less digits than its factorization.

11577657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42432.

The product of its digits is 51450, while the sum is 39.

The square root of 11577657 is about 3402.5956268708. The cubic root of 11577657 is about 226.2248069788.

The spelling of 11577657 in words is "eleven million, five hundred seventy-seven thousand, six hundred fifty-seven".