973504 has 56 divisors (see below), whose sum is σ = 2304288. Its totient is φ = 399360.

The previous prime is 973487. The next prime is 973523. The reversal of 973504 is 405379.

973504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

973504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18342 + ... + 18394.

It is an arithmetic number, because the mean of its divisors is an integer number (41148).

2⁹⁷³⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152144).

973504 is an abundant number, since it is smaller than the sum of its proper divisors (1330784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

973504 is a wasteful number, since it uses less digits than its factorization.

973504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 973504 is about 986.6630630565. The cubic root of 973504 is about 99.1088826869.

The spelling of 973504 in words is "nine hundred seventy-three thousand, five hundred four".