657423 has 16 divisors (see below), whose sum is σ = 1049440. Its totient is φ = 404352.

The previous prime is 657413. The next prime is 657431. The reversal of 657423 is 324756.

It is a happy number.

657423 is a `hidden beast` number, since 657 + 4 + 2 + 3 = 666.

It is not a de Polignac number, because 657423 - 2¹⁶ = 591887 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 6⁶ + 5⁷ + 4⁵ + 7² + 2⁷ + 3¹² .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (657403) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 586 + ... + 1287.

It is an arithmetic number, because the mean of its divisors is an integer number (65590).

2⁶⁵⁷⁴²³ is an apocalyptic number.

657423 is a deficient number, since it is larger than the sum of its proper divisors (392017).

657423 is a wasteful number, since it uses less digits than its factorization.

657423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1889 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 657423 is about 810.8162553871. The cubic root of 657423 is about 86.9524115485.

The spelling of 657423 in words is "six hundred fifty-seven thousand, four hundred twenty-three".