42661633 has 16 divisors (see below), whose sum is σ = 50169856. Its totient is φ = 35516880.

The previous prime is 42661621. The next prime is 42661643. The reversal of 42661633 is 33616624.

It is not a de Polignac number, because 42661633 - 2¹³ = 42653441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42661595 and 42661604.

It is not an unprimeable number, because it can be changed into a prime (42661643) 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, 81310 + ... + 81832.

It is an arithmetic number, because the mean of its divisors is an integer number (3135616).

Almost surely, 2^42661633 is an apocalyptic number.

42661633 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

42661633 is a deficient number, since it is larger than the sum of its proper divisors (7508223).

42661633 is a wasteful number, since it uses less digits than its factorization.

42661633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844.

The product of its digits is 15552, while the sum is 31.

The square root of 42661633 is about 6531.5873262171. The cubic root of 42661633 is about 349.4184437514.

The spelling of 42661633 in words is "forty-two million, six hundred sixty-one thousand, six hundred thirty-three".