597872 has 40 divisors (see below), whose sum is σ = 1309440. Its totient is φ = 262080.

The previous prime is 597869. The next prime is 597889. The reversal of 597872 is 278795.

597872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a pancake number, because a pancake can be divided into 597872 parts by 1093 straight cuts.

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7529 + ... + 7607.

It is an arithmetic number, because the mean of its divisors is an integer number (32736).

597872 is a Friedman number, since it can be written as (9^7+7)*2^(5-8), using all its digits and the basic arithmetic operations.

2⁵⁹⁷⁸⁷² 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 597872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654720).

597872 is an abundant number, since it is smaller than the sum of its proper divisors (711568).

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

597872 is a wasteful number, since it uses less digits than its factorization.

597872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its digits is 35280, while the sum is 38.

The square root of 597872 is about 773.2218310420. The cubic root of 597872 is about 84.2434359311.

The spelling of 597872 in words is "five hundred ninety-seven thousand, eight hundred seventy-two".