973505 has 16 divisors (see below), whose sum is σ = 1333584. Its totient is φ = 675840.

The previous prime is 973487. The next prime is 973523. The reversal of 973505 is 505379.

It is an interprime number because it is at equal distance from previous prime (973487) and next prime (973523).

It can be written as a sum of positive squares in 8 ways, for example, as 82369 + 891136 = 287^2 + 944^2 .

It is not a de Polignac number, because 973505 - 2¹⁰ = 972481 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 973505.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 665 + ... + 1545.

It is an arithmetic number, because the mean of its divisors is an integer number (83349).

2⁹⁷³⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

973505 is a deficient number, since it is larger than the sum of its proper divisors (360079).

973505 is a wasteful number, since it uses less digits than its factorization.

973505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916.

The product of its (nonzero) digits is 4725, while the sum is 29.

The square root of 973505 is about 986.6635698150. The cubic root of 973505 is about 99.1089166224.

The spelling of 973505 in words is "nine hundred seventy-three thousand, five hundred five".