427961 has 6 divisors (see below), whose sum is σ = 447930. Its totient is φ = 408848.

The previous prime is 427957. The next prime is 427967. The reversal of 427961 is 169724.

It can be written as a sum of positive squares in only one way, i.e., 414736 + 13225 = 644^2 + 115^2 .

It is not a de Polignac number, because 427961 - 2² = 427957 is a prime.

It is a d-powerful number, because it can be written as 4³ + 2¹⁷ + 9² + 7⁵ + 6⁷ + 1 .

It is a Duffinian number.

It is a Curzon number.

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

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 5 ways as a sum of consecutive naturals, for example, 125 + ... + 933.

It is an arithmetic number, because the mean of its divisors is an integer number (74655).

2⁴²⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

427961 is a deficient number, since it is larger than the sum of its proper divisors (19969).

427961 is an equidigital number, since it uses as much as digits as its factorization.

427961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 832 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 427961 is about 654.1872820531. The cubic root of 427961 is about 75.3589313554.

The spelling of 427961 in words is "four hundred twenty-seven thousand, nine hundred sixty-one".