975021000 has 128 divisors (see below), whose sum is σ = 3116655360. Its totient is φ = 253632000.

The previous prime is 975020987. The next prime is 975021007. The reversal of 975021000 is 120579.

975021000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (975021007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119037 + ... + 126963.

It is an arithmetic number, because the mean of its divisors is an integer number (24348870).

Almost surely, 2^975021000 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 975021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558327680).

975021000 is an abundant number, since it is smaller than the sum of its proper divisors (2141634360).

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

975021000 is a wasteful number, since it uses less digits than its factorization.

975021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992 (or 7978 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 975021000 is about 31225.3262593043. The cubic root of 975021000 is about 991.6033604418.

Adding to 975021000 its reverse (120579), we get a palindrome (975141579).

The spelling of 975021000 in words is "nine hundred seventy-five million, twenty-one thousand".