945000 has 160 divisors (see below), whose sum is σ = 3748800. Its totient is φ = 216000.

The previous prime is 944987. The next prime is 945031. The reversal of 945000 is 549.

945000 = T₁₅₅ + T₁₅₆ + ... + T₂₁₀.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 945000.

It is an unprimeable number.

945000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 39 ways as a sum of consecutive naturals, for example, 134997 + ... + 135003.

It is an arithmetic number, because the mean of its divisors is an integer number (23430).

2⁹⁴⁵⁰⁰⁰ is an apocalyptic number.

945000 is a gapful number since it is divisible by the number (90) 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 945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874400).

945000 is an abundant number, since it is smaller than the sum of its proper divisors (2803800).

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

945000 is a wasteful number, since it uses less digits than its factorization.

945000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 945000 is about 972.1111047612. Note that the first 4 decimals coincide. The cubic root of 945000 is about 98.1319893057.

Adding to 945000 its reverse (549), we get a palindrome (945549).

The spelling of 945000 in words is "nine hundred forty-five thousand".