975150 has 72 divisors (see below), whose sum is σ = 2872584. Its totient is φ = 235200.

The previous prime is 975133. The next prime is 975151. The reversal of 975150 is 51579.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4852 + ... + 5048.

It is an arithmetic number, because the mean of its divisors is an integer number (39897).

2⁹⁷⁵¹⁵⁰ is an apocalyptic number.

975150 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 975150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436292).

975150 is an abundant number, since it is smaller than the sum of its proper divisors (1897434).

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

975150 is a wasteful number, since it uses less digits than its factorization.

975150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 975150 is about 987.4968354380. The cubic root of 975150 is about 99.1647089822.

It can be divided in two parts, 9751 and 50, that added together give a square (9801 = 99²).

The spelling of 975150 in words is "nine hundred seventy-five thousand, one hundred fifty".