9975000 has 192 divisors, whose sum is σ = 37497600. Its totient is φ = 2160000.

The previous prime is 9974983. The next prime is 9975029. The reversal of 9975000 is 5799.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524991 + ... + 525009.

It is an arithmetic number, because the mean of its divisors is an integer number (195300).

Almost surely, 2^9975000 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 9975000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

9975000 is an abundant number, since it is smaller than the sum of its proper divisors (27522600).

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

9975000 is a wasteful number, since it uses less digits than its factorization.

9975000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 9975000 is about 3158.3223394708. The cubic root of 9975000 is about 215.2637829574.

The spelling of 9975000 in words is "nine million, nine hundred seventy-five thousand".