4166037 has 24 divisors (see below), whose sum is σ = 6476184. Its totient is φ = 2571264.

The previous prime is 4166027. The next prime is 4166047. The reversal of 4166037 is 7306614.

It is an interprime number because it is at equal distance from previous prime (4166027) and next prime (4166047).

It can be written as a sum of positive squares in 4 ways, for example, as 1313316 + 2852721 = 1146^2 + 1689^2 .

It is not a de Polignac number, because 4166037 - 2⁸ = 4165781 is a prime.

It is an Ulam number.

4166037 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 4166037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166017) 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, 10983 + ... + 11355.

It is an arithmetic number, because the mean of its divisors is an integer number (269841).

Almost surely, 2^4166037 is an apocalyptic number.

It is an amenable number.

4166037 is a deficient number, since it is larger than the sum of its proper divisors (2310147).

4166037 is a wasteful number, since it uses less digits than its factorization.

4166037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4166037 is about 2041.0872102877. The cubic root of 4166037 is about 160.9067912062.

The spelling of 4166037 in words is "four million, one hundred sixty-six thousand, thirty-seven".