501966 has 24 divisors (see below), whose sum is σ = 1104480. Its totient is φ = 164736.

The previous prime is 501953. The next prime is 501967. The reversal of 501966 is 669105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501967) by changing a digit.

501966 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 1246 + ... + 1598.

It is an arithmetic number, because the mean of its divisors is an integer number (46020).

2⁵⁰¹⁹⁶⁶ is an apocalyptic number.

501966 is an abundant number, since it is smaller than the sum of its proper divisors (602514).

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

501966 is a wasteful number, since it uses less digits than its factorization.

501966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 501966 is about 708.4955892594. The cubic root of 501966 is about 79.4739442321.

It can be divided in two parts, 50 and 1966, that added together give a triangular number (2016 = T₆₃).

The spelling of 501966 in words is "five hundred one thousand, nine hundred sixty-six".