609657 has 8 divisors (see below), whose sum is σ = 821184. Its totient is φ = 402288.

The previous prime is 609641. The next prime is 609673. The reversal of 609657 is 756906.

It is an interprime number because it is at equal distance from previous prime (609641) and next prime (609673).

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

It is not a de Polignac number, because 609657 - 2⁴ = 609641 is a prime.

It is a d-powerful number, because it can be written as 6 + 0 + 6² + 9⁶ + 5⁷ + 7² .

609657 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (609607) 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, 678 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (102648).

2⁶⁰⁹⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

609657 is a deficient number, since it is larger than the sum of its proper divisors (211527).

609657 is a wasteful number, since it uses less digits than its factorization.

609657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 609657 is about 780.8053534653. The cubic root of 609657 is about 84.7933619611.

The spelling of 609657 in words is "six hundred nine thousand, six hundred fifty-seven".