973657 has 2 divisors, whose sum is σ = 973658. Its totient is φ = 973656.

The previous prime is 973631. The next prime is 973669. The reversal of 973657 is 756379.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 793881 + 179776 = 891^2 + 424^2 .

It is a cyclic number.

It is not a de Polignac number, because 973657 - 2⁷ = 973529 is a prime.

It is not a weakly prime, because it can be changed into another prime (973057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486828 + 486829.

It is an arithmetic number, because the mean of its divisors is an integer number (486829).

2⁹⁷³⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

973657 is a deficient number, since it is larger than the sum of its proper divisors (1).

973657 is an equidigital number, since it uses as much as digits as its factorization.

973657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 39690, while the sum is 37.

The square root of 973657 is about 986.7405940773. The cubic root of 973657 is about 99.1140745385.

The spelling of 973657 in words is "nine hundred seventy-three thousand, six hundred fifty-seven".