42027633 has 16 divisors (see below), whose sum is σ = 63119040. Its totient is φ = 27633312.

The previous prime is 42027617. The next prime is 42027653. The reversal of 42027633 is 33672024.

42027633 is a `hidden beast` number, since 4 + 2 + 0 + 27 + 633 = 666.

It is not a de Polignac number, because 42027633 - 2⁴ = 42027617 is a prime.

It is a super-3 number, since 3×42027633³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42027597 and 42027606.

It is not an unprimeable number, because it can be changed into a prime (42027653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8691 + ... + 12632.

It is an arithmetic number, because the mean of its divisors is an integer number (3944940).

Almost surely, 2^42027633 is an apocalyptic number.

It is an amenable number.

42027633 is a deficient number, since it is larger than the sum of its proper divisors (21091407).

42027633 is a wasteful number, since it uses less digits than its factorization.

42027633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21405 (or 21399 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 42027633 is about 6482.8722800931. The cubic root of 42027633 is about 347.6788803510.

Adding to 42027633 its reverse (33672024), we get a palindrome (75699657).

The spelling of 42027633 in words is "forty-two million, twenty-seven thousand, six hundred thirty-three".