42564213 has 12 divisors (see below), whose sum is σ = 61539660. Its totient is φ = 28349376.

The previous prime is 42564169. The next prime is 42564217. The reversal of 42564213 is 31246524.

42564213 is a `hidden beast` number, since 4 + 2 + 5 + 642 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32182929 + 10381284 = 5673^2 + 3222^2 .

It is not a de Polignac number, because 42564213 - 2¹⁴ = 42547829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42564217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14233 + ... + 16961.

It is an arithmetic number, because the mean of its divisors is an integer number (5128305).

Almost surely, 2^42564213 is an apocalyptic number.

It is an amenable number.

42564213 is a deficient number, since it is larger than the sum of its proper divisors (18975447).

42564213 is a wasteful number, since it uses less digits than its factorization.

42564213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4465 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42564213 is about 6524.1254586343. The cubic root of 42564213 is about 349.1522694689.

The spelling of 42564213 in words is "forty-two million, five hundred sixty-four thousand, two hundred thirteen".