42205933 has 32 divisors (see below), whose sum is σ = 55883520. Its totient is φ = 30912000.

The previous prime is 42205921. The next prime is 42205949. The reversal of 42205933 is 33950224.

It is not a de Polignac number, because 42205933 - 2⁹ = 42205421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42205903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91323 + ... + 91783.

It is an arithmetic number, because the mean of its divisors is an integer number (1746360).

Almost surely, 2^42205933 is an apocalyptic number.

It is an amenable number.

42205933 is a deficient number, since it is larger than the sum of its proper divisors (13677587).

42205933 is a wasteful number, since it uses less digits than its factorization.

42205933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549.

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 42205933 is about 6496.6093464206. The cubic root of 42205933 is about 348.1698564166.

It can be divided in two parts, 4220 and 5933, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 42205933 in words is "forty-two million, two hundred five thousand, nine hundred thirty-three".