4013649 has 24 divisors (see below), whose sum is σ = 6313320. Its totient is φ = 2446848.

The previous prime is 4013641. The next prime is 4013651. The reversal of 4013649 is 9463104.

4013649 is a `hidden beast` number, since 4 + 0 + 13 + 649 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1140624 + 2873025 = 1068^2 + 1695^2 .

It is not a de Polignac number, because 4013649 - 2³ = 4013641 is a prime.

It is a super-2 number, since 2×4013649² = 32218756590402, which contains 22 as substring.

4013649 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4013641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5307 + ... + 6015.

It is an arithmetic number, because the mean of its divisors is an integer number (263055).

Almost surely, 2^4013649 is an apocalyptic number.

It is an amenable number.

4013649 is a deficient number, since it is larger than the sum of its proper divisors (2299671).

4013649 is a wasteful number, since it uses less digits than its factorization.

4013649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4013649 is about 2003.4093440932. The cubic root of 4013649 is about 158.9204538618.

It can be divided in two parts, 40 and 13649, that added together give a square (13689 = 117²).

The spelling of 4013649 in words is "four million, thirteen thousand, six hundred forty-nine".