5945000 has 80 divisors (see below), whose sum is σ = 14760900. Its totient is φ = 2240000.

The previous prime is 5944993. The next prime is 5945039. The reversal of 5945000 is 5495.

It can be written as a sum of positive squares in 10 ways, for example, as 1643524 + 4301476 = 1282^2 + 2074^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144980 + ... + 145020.

Almost surely, 2^5945000 is an apocalyptic number.

5945000 is a gapful number since it is divisible by the number (50) 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 5945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380450).

5945000 is an abundant number, since it is smaller than the sum of its proper divisors (8815900).

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

5945000 is a wasteful number, since it uses less digits than its factorization.

5945000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 5945000 is about 2438.2370680473. The cubic root of 5945000 is about 181.1551227580.

The spelling of 5945000 in words is "five million, nine hundred forty-five thousand".