4135301 has 12 divisors (see below), whose sum is σ = 4512900. Its totient is φ = 3786240.

The previous prime is 4135297. The next prime is 4135303. The reversal of 4135301 is 1035314.

It can be written as a sum of positive squares in 6 ways, for example, as 75076 + 4060225 = 274^2 + 2015^2 .

It is not a de Polignac number, because 4135301 - 2² = 4135297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4135301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11675 + ... + 12023.

It is an arithmetic number, because the mean of its divisors is an integer number (376075).

Almost surely, 2^4135301 is an apocalyptic number.

4135301 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4135301 is a deficient number, since it is larger than the sum of its proper divisors (377599).

4135301 is a wasteful number, since it uses less digits than its factorization.

4135301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 4135301 is about 2033.5439508405. The cubic root of 4135301 is about 160.5101037560.

4135301 divided by its sum of digits (17) gives a triangular number (243253 = T₆₉₇).

The spelling of 4135301 in words is "four million, one hundred thirty-five thousand, three hundred one".