4121766 has 56 divisors (see below), whose sum is σ = 10151784. Its totient is φ = 1244160.

The previous prime is 4121753. The next prime is 4121779. The reversal of 4121766 is 6671214.

It is an interprime number because it is at equal distance from previous prime (4121753) and next prime (4121779).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2016) is a multiple of the sum of its prime factors (288).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 15910 + ... + 16166.

Almost surely, 2^4121766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075892).

4121766 is an abundant number, since it is smaller than the sum of its proper divisors (6030018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4121766 is a wasteful number, since it uses less digits than its factorization.

4121766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 4121766 is about 2030.2132892876. The cubic root of 4121766 is about 160.3347937602.

The spelling of 4121766 in words is "four million, one hundred twenty-one thousand, seven hundred sixty-six".