667617 has 8 divisors (see below), whose sum is σ = 897120. Its totient is φ = 441600.

The previous prime is 667577. The next prime is 667631. The reversal of 667617 is 716766.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 667617 - 2⁶ = 667553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (667657) 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 7 ways as a sum of consecutive naturals, for example, 384 + ... + 1217.

It is an arithmetic number, because the mean of its divisors is an integer number (112140).

2⁶⁶⁷⁶¹⁷ is an apocalyptic number.

It is an amenable number.

667617 is a deficient number, since it is larger than the sum of its proper divisors (229503).

667617 is a wasteful number, since it uses less digits than its factorization.

667617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743.

The product of its digits is 10584, while the sum is 33.

The square root of 667617 is about 817.0783316182. The cubic root of 667617 is about 87.3995363970.

The spelling of 667617 in words is "six hundred sixty-seven thousand, six hundred seventeen".