973907952 has 80 divisors (see below), whose sum is σ = 2632331520. Its totient is φ = 309692416.

The previous prime is 973907941. The next prime is 973907959. The reversal of 973907952 is 259709379.

It is a happy number.

973907952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 973907895 and 973907904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973907959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514624 + ... + 516512.

It is an arithmetic number, because the mean of its divisors is an integer number (32904144).

Almost surely, 2^973907952 is an apocalyptic number.

973907952 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973907952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316165760).

973907952 is an abundant number, since it is smaller than the sum of its proper divisors (1658423568).

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

973907952 is a wasteful number, since it uses less digits than its factorization.

973907952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 1071630, while the sum is 51.

The square root of 973907952 is about 31207.4983297284. The cubic root of 973907952 is about 991.2258908332.

The spelling of 973907952 in words is "nine hundred seventy-three million, nine hundred seven thousand, nine hundred fifty-two".