4185073 has 6 divisors (see below), whose sum is σ = 4417314. Its totient is φ = 3964464.

The previous prime is 4185067. The next prime is 4185101. The reversal of 4185073 is 3705814.

It can be written as a sum of positive squares in only one way, i.e., 4133089 + 51984 = 2033^2 + 228^2 .

It is not a de Polignac number, because 4185073 - 2⁹ = 4184561 is a prime.

It is a Duffinian number.

4185073 is a lucky number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (4185173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5436 + ... + 6157.

It is an arithmetic number, because the mean of its divisors is an integer number (736219).

Almost surely, 2^4185073 is an apocalyptic number.

It is an amenable number.

4185073 is a deficient number, since it is larger than the sum of its proper divisors (232241).

4185073 is a wasteful number, since it uses less digits than its factorization.

4185073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11631 (or 11612 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 4185073 is about 2045.7450965357. The cubic root of 4185073 is about 161.1514976394.

It can be divided in two parts, 418507 and 3, that multiplied together give a palindrome (1255521).

The spelling of 4185073 in words is "four million, one hundred eighty-five thousand, seventy-three".