657042 has 8 divisors (see below), whose sum is σ = 1314096. Its totient is φ = 219012.

The previous prime is 657029. The next prime is 657047. The reversal of 657042 is 240756.

It is a happy number.

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

657042 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (657047) by changing a digit.

657042 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54748 + ... + 54759.

It is an arithmetic number, because the mean of its divisors is an integer number (164262).

2⁶⁵⁷⁰⁴² is an apocalyptic number.

657042 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

657042 is a wasteful number, since it uses less digits than its factorization.

657042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109512.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 657042 is about 810.5812729147. The cubic root of 657042 is about 86.9356109647.

Adding to 657042 its reverse (240756), we get a palindrome (897798).

The spelling of 657042 in words is "six hundred fifty-seven thousand, forty-two".