427966 has 24 divisors (see below), whose sum is σ = 816696. Its totient is φ = 166320.

The previous prime is 427957. The next prime is 427967. The reversal of 427966 is 669724.

427966 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 4³ + 2¹⁷ + 9² + 7⁵ + 6 + 6⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427967) by changing a digit.

427966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 880 + ... + 1276.

It is an arithmetic number, because the mean of its divisors is an integer number (34029).

2⁴²⁷⁹⁶⁶ is an apocalyptic number.

427966 is a deficient number, since it is larger than the sum of its proper divisors (388730).

427966 is a wasteful number, since it uses less digits than its factorization.

427966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 417 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 427966 is about 654.1911035775. The cubic root of 427966 is about 75.3592248347.

It can be divided in two parts, 42 and 7966, that added together give a palindrome (8008).

The spelling of 427966 in words is "four hundred twenty-seven thousand, nine hundred sixty-six".