42164225 has 6 divisors (see below), whose sum is σ = 52283670. Its totient is φ = 33731360.

The previous prime is 42164207. The next prime is 42164261. The reversal of 42164225 is 52246124.

It can be written as a sum of positive squares in 3 ways, for example, as 9628609 + 32535616 = 3103^2 + 5704^2 .

It is not a de Polignac number, because 42164225 - 2⁸ = 42163969 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42164194 and 42164203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 843260 + ... + 843309.

It is an arithmetic number, because the mean of its divisors is an integer number (8713945).

It is a Proth number, since it is equal to 5147 ⋅ 2¹³ + 1 and 5147 < 2¹³.

Almost surely, 2^42164225 is an apocalyptic number.

It is an amenable number.

42164225 is a deficient number, since it is larger than the sum of its proper divisors (10119445).

42164225 is a wasteful number, since it uses less digits than its factorization.

42164225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686579 (or 1686574 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 42164225 is about 6493.3985708564. The cubic root of 42164225 is about 348.0551312003.

It can be divided in two parts, 421 and 64225, that added together give a palindrome (64646).

The spelling of 42164225 in words is "forty-two million, one hundred sixty-four thousand, two hundred twenty-five".