• 66592² = 4434494464 is the smallest square that contains exactly seven digits '4'.

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66592 has 12 divisors (see below), whose sum is σ = 131166. Its totient is φ = 33280.

The previous prime is 66587. The next prime is 66593. The reversal of 66592 is 29566.

It can be written as a sum of positive squares in only one way, i.e., 59536 + 7056 = 244^2 + 84^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 66592.

It is not an unprimeable number, because it can be changed into a prime (66593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1009 + ... + 1072.

2⁶⁶⁵⁹² is an apocalyptic number.

It is an amenable number.

66592 is a deficient number, since it is larger than the sum of its proper divisors (64574).

66592 is a wasteful number, since it uses less digits than its factorization.

66592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2083 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The square root of 66592 is about 258.0542578606. The cubic root of 66592 is about 40.5328697238.

Subtracting from 66592 its sum of digits (28), we obtain a square (66564 = 258²).

It can be divided in two parts, 665 and 92, that added together give a palindrome (757).

The spelling of 66592 in words is "sixty-six thousand, five hundred ninety-two".