42284961 has 18 divisors (see below), whose sum is σ = 63125010. Its totient is φ = 27275040.

The previous prime is 42284959. The next prime is 42284989. The reversal of 42284961 is 16948224.

It can be written as a sum of positive squares in only one way, i.e., 38825361 + 3459600 = 6231^2 + 1860^2 .

It is not a de Polignac number, because 42284961 - 2¹ = 42284959 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42284911) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6205 + ... + 11093.

It is an arithmetic number, because the mean of its divisors is an integer number (3506945).

Almost surely, 2^42284961 is an apocalyptic number.

It is an amenable number.

42284961 is a deficient number, since it is larger than the sum of its proper divisors (20840049).

42284961 is a wasteful number, since it uses less digits than its factorization.

42284961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4957 (or 4923 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 42284961 is about 6502.6887515858. The cubic root of 42284961 is about 348.3870297682.

The spelling of 42284961 in words is "forty-two million, two hundred eighty-four thousand, nine hundred sixty-one".