5913000 has 160 divisors (see below), whose sum is σ = 20952360. Its totient is φ = 1555200.

The previous prime is 5912999. The next prime is 5913031. The reversal of 5913000 is 3195.

It can be written as a sum of positive squares in 4 ways, for example, as 1920996 + 3992004 = 1386^2 + 1998^2 .

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

It is an unprimeable 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, 80964 + ... + 81036.

Almost surely, 2^5913000 is an apocalyptic number.

5913000 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 5913000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10476180).

5913000 is an abundant number, since it is smaller than the sum of its proper divisors (15039360).

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

5913000 is a wasteful number, since it uses less digits than its factorization.

5913000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 5913000 is about 2431.6660954991. Note that the first 3 decimals coincide. The cubic root of 5913000 is about 180.8295048045.

Adding to 5913000 its reverse (3195), we get a palindrome (5916195).

The spelling of 5913000 in words is "five million, nine hundred thirteen thousand".