4201605 has 16 divisors (see below), whose sum is σ = 7469760. Its totient is φ = 2240784.

The previous prime is 4201583. The next prime is 4201621. The reversal of 4201605 is 5061024.

It is a happy number.

It is not a de Polignac number, because 4201605 - 2¹¹ = 4199557 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

4201605 is a lucky number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15427 + ... + 15696.

It is an arithmetic number, because the mean of its divisors is an integer number (466860).

Almost surely, 2^4201605 is an apocalyptic number.

4201605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4201605 is a deficient number, since it is larger than the sum of its proper divisors (3268155).

4201605 is a wasteful number, since it uses less digits than its factorization.

4201605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31137 (or 31131 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4201605 is about 2049.7816956935. The cubic root of 4201605 is about 161.3634139928.

Adding to 4201605 its reverse (5061024), we get a palindrome (9262629).

It can be divided in two parts, 420 and 1605, that added together give a square (2025 = 45²).

The spelling of 4201605 in words is "four million, two hundred one thousand, six hundred five".