4100629 has 16 divisors (see below), whose sum is σ = 4662000. Its totient is φ = 3580416.

The previous prime is 4100627. The next prime is 4100641. The reversal of 4100629 is 9260014.

4100629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 528529 + 3572100 = 727^2 + 1890^2 .

It is a cyclic number.

It is not a de Polignac number, because 4100629 - 2¹ = 4100627 is a prime.

It is a Duffinian number.

4100629 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100627) 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 15 ways as a sum of consecutive naturals, for example, 27447 + ... + 27595.

It is an arithmetic number, because the mean of its divisors is an integer number (291375).

Almost surely, 2^4100629 is an apocalyptic number.

It is an amenable number.

4100629 is a deficient number, since it is larger than the sum of its proper divisors (561371).

4100629 is a wasteful number, since it uses less digits than its factorization.

4100629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 4100629 is about 2025.0009876541. Note that the first 3 decimals coincide. The cubic root of 4100629 is about 160.0602507462.

The spelling of 4100629 in words is "four million, one hundred thousand, six hundred twenty-nine".