579975 has 48 divisors (see below), whose sum is σ = 1130880. Its totient is φ = 259200.

The previous prime is 579973. The next prime is 579983.

It is a happy number.

579975 is nontrivially palindromic in base 10.

579975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 579975 - 2¹ = 579973 is a prime.

Its product of digits (99225) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (579973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15657 + ... + 15693.

It is an arithmetic number, because the mean of its divisors is an integer number (23560).

2⁵⁷⁹⁹⁷⁵ is an apocalyptic number.

579975 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

579975 is a deficient number, since it is larger than the sum of its proper divisors (550905).

579975 is a wasteful number, since it uses less digits than its factorization.

579975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 75 counting only the distinct ones).

The product of its digits is 99225, while the sum is 42.

The square root of 579975 is about 761.5608971054. The cubic root of 579975 is about 83.3943109255.

The spelling of 579975 in words is "five hundred seventy-nine thousand, nine hundred seventy-five".