975312900 has 135 divisors (see below), whose sum is σ = 3170716549. Its totient is φ = 259333920.

The previous prime is 975312857. The next prime is 975312901. The reversal of 975312900 is 9213579.

The square root of 975312900 is 31230.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 351112644 + 624200256 = 18738^2 + 24984^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (975312901) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2810527 + ... + 2810873.

Almost surely, 2^975312900 is an apocalyptic number.

975312900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

975312900 is the 31230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975312900

975312900 is an abundant number, since it is smaller than the sum of its proper divisors (2195403649).

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

975312900 is a wasteful number, since it uses less digits than its factorization.

975312900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The cubic root of 975312900 is about 991.7023053673.

Multiplying 975312900 by its sum of digits (36), we get a square (35111264400 = 187380²).

975312900 divided by its sum of digits (36) gives a square (27092025 = 5205²).

The spelling of 975312900 in words is "nine hundred seventy-five million, three hundred twelve thousand, nine hundred".