973385292 has 96 divisors (see below), whose sum is σ = 2528354304. Its totient is φ = 288993600.

The previous prime is 973385291. The next prime is 973385293. The reversal of 973385292 is 292583379.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (973385291) and next prime (973385293).

It is not an unprimeable number, because it can be changed into a prime (973385291) 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 in 31 ways as a sum of consecutive naturals, for example, 2652093 + ... + 2652459.

It is an arithmetic number, because the mean of its divisors is an integer number (26337024).

Almost surely, 2^973385292 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 973385292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264177152).

973385292 is an abundant number, since it is smaller than the sum of its proper divisors (1554969012).

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

973385292 is a wasteful number, since it uses less digits than its factorization.

973385292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 737 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 973385292 is about 31199.1232569122. The cubic root of 973385292 is about 991.0485411403.

The spelling of 973385292 in words is "nine hundred seventy-three million, three hundred eighty-five thousand, two hundred ninety-two".