1004657 has 2 divisors, whose sum is σ = 1004658. Its totient is φ = 1004656.

The previous prime is 1004651. The next prime is 1004659. The reversal of 1004657 is 7564001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 758641 + 246016 = 871^2 + 496^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004657 - 2⁸ = 1004401 is a prime.

Together with 1004659, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1004651) 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 as a sum of consecutive naturals, namely, 502328 + 502329.

It is an arithmetic number, because the mean of its divisors is an integer number (502329).

2^1004657 is an apocalyptic number.

It is an amenable number.

1004657 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004657 is an equidigital number, since it uses as much as digits as its factorization.

1004657 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1004657 is about 1002.3257953380. The cubic root of 1004657 is about 100.1549929810.

Adding to 1004657 its reverse (7564001), we get a palindrome (8568658).

It can be divided in two parts, 1004 and 657, that added together give a palindrome (1661).

The spelling of 1004657 in words is "one million, four thousand, six hundred fifty-seven".