6711617 has 16 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 5437440.

The previous prime is 6711587. The next prime is 6711637. The reversal of 6711617 is 7161176.

It is a cyclic number.

It is not a de Polignac number, because 6711617 - 2¹⁴ = 6695233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6711617.

It is not an unprimeable number, because it can be changed into a prime (6711637) 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, 2609 + ... + 4497.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 2^6711617 is an apocalyptic number.

It is an amenable number.

6711617 is a deficient number, since it is larger than the sum of its proper divisors (1453183).

6711617 is a wasteful number, since it uses less digits than its factorization.

6711617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936.

The product of its digits is 1764, while the sum is 29.

The square root of 6711617 is about 2590.6788685594. The cubic root of 6711617 is about 188.6292574563.

The spelling of 6711617 in words is "six million, seven hundred eleven thousand, six hundred seventeen".