972305376 has 96 divisors (see below), whose sum is σ = 2922812928. Its totient is φ = 277240320.

The previous prime is 972305371. The next prime is 972305401. The reversal of 972305376 is 673503279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972305371) 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, 422886 + ... + 425178.

It is an arithmetic number, because the mean of its divisors is an integer number (30445968).

Almost surely, 2^972305376 is an apocalyptic number.

972305376 is a gapful number since it is divisible by the number (96) 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 972305376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461406464).

972305376 is an abundant number, since it is smaller than the sum of its proper divisors (1950507552).

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

972305376 is a wasteful number, since it uses less digits than its factorization.

972305376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 42.

The square root of 972305376 is about 31181.8116215206. The cubic root of 972305376 is about 990.6819013924.

The spelling of 972305376 in words is "nine hundred seventy-two million, three hundred five thousand, three hundred seventy-six".