41164201 has 16 divisors (see below), whose sum is σ = 45707200. Its totient is φ = 36832320.

The previous prime is 41164171. The next prime is 41164219. The reversal of 41164201 is 10246114.

41164201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

41164201 is a nontrivial binomial coefficient, being equal to C(9074, 2).

It is a cyclic number.

It is not a de Polignac number, because 41164201 - 2⁵ = 41164169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41164231) 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 15 ways as a sum of consecutive naturals, for example, 117775 + ... + 118123.

It is an arithmetic number, because the mean of its divisors is an integer number (2856700).

Almost surely, 2^41164201 is an apocalyptic number.

41164201 is the 9073-rd triangular number and also the 4537-th hexagonal number.

41164201 is the 3025-th centered nonagonal number.

It is an amenable number.

41164201 is a deficient number, since it is larger than the sum of its proper divisors (4542999).

41164201 is a wasteful number, since it uses less digits than its factorization.

41164201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 41164201 is about 6415.9333693548. The cubic root of 41164201 is about 345.2814366698.

The spelling of 41164201 in words is "forty-one million, one hundred sixty-four thousand, two hundred one".