4741605 has 64 divisors (see below), whose sum is σ = 9584640. Its totient is φ = 2203200.

The previous prime is 4741603. The next prime is 4741613. The reversal of 4741605 is 5061474.

It is not a de Polignac number, because 4741605 - 2¹ = 4741603 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

4741605 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4741601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45984 + ... + 46086.

It is an arithmetic number, because the mean of its divisors is an integer number (149760).

Almost surely, 2^4741605 is an apocalyptic number.

4741605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4741605 is an abundant number, since it is smaller than the sum of its proper divisors (4843035).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4741605 is a wasteful number, since it uses less digits than its factorization.

4741605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4741605 is about 2177.5226749680. The cubic root of 4741605 is about 167.9996811218. Note that the first 3 decimals are identical.

Adding to 4741605 its sum of digits (27), we get a cube (4741632 = 168³).

The spelling of 4741605 in words is "four million, seven hundred forty-one thousand, six hundred five".