557964 has 36 divisors (see below), whose sum is σ = 1539720. Its totient is φ = 168960.

The previous prime is 557927. The next prime is 557981. The reversal of 557964 is 469755.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×557964² = 622647650592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309 + ... + 1100.

It is an arithmetic number, because the mean of its divisors is an integer number (42770).

2⁵⁵⁷⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

557964 is an abundant number, since it is smaller than the sum of its proper divisors (981756).

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

557964 is a wasteful number, since it uses less digits than its factorization.

557964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1425 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 557964 is about 746.9698789108. The cubic root of 557964 is about 82.3256925857.

Subtracting from 557964 its reverse (469755), we obtain a square (88209 = 297²).

It can be divided in two parts, 557 and 964, that added together give a square (1521 = 39²).

The spelling of 557964 in words is "five hundred fifty-seven thousand, nine hundred sixty-four".