657401 has 4 divisors (see below), whose sum is σ = 680100. Its totient is φ = 634704.

The previous prime is 657383. The next prime is 657403. The reversal of 657401 is 104756.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 524176 + 133225 = 724^2 + 365^2 .

It is a cyclic number.

It is not a de Polignac number, because 657401 - 2¹⁰ = 656377 is a prime.

It is a Duffinian 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11306 + ... + 11363.

It is an arithmetic number, because the mean of its divisors is an integer number (170025).

2⁶⁵⁷⁴⁰¹ is an apocalyptic number.

It is an amenable number.

657401 is a deficient number, since it is larger than the sum of its proper divisors (22699).

657401 is a wasteful number, since it uses less digits than its factorization.

657401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22698.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 657401 is about 810.8026886981. The cubic root of 657401 is about 86.9514416126.

The spelling of 657401 in words is "six hundred fifty-seven thousand, four hundred one".