42064001 has 12 divisors (see below), whose sum is σ = 51810948. Its totient is φ = 33933312.

The previous prime is 42063979. The next prime is 42064037. The reversal of 42064001 is 10046024.

42064001 = 1565² + 1566² + ... + 1581².

It can be written as a sum of positive squares in 2 ways, for example, as 18054001 + 24010000 = 4249^2 + 4900^2 .

It is not a de Polignac number, because 42064001 - 2¹⁴ = 42047617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (42064901) 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, 24416 + ... + 26081.

It is an arithmetic number, because the mean of its divisors is an integer number (4317579).

Almost surely, 2^42064001 is an apocalyptic number.

It is an amenable number.

42064001 is a deficient number, since it is larger than the sum of its proper divisors (9746947).

42064001 is a wasteful number, since it uses less digits than its factorization.

42064001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50528 (or 50521 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 42064001 is about 6485.6766031001. The cubic root of 42064001 is about 347.7791377227.

The spelling of 42064001 in words is "forty-two million, sixty-four thousand, one".