4201164 has 54 divisors (see below), whose sum is σ = 11698596. Its totient is φ = 1260720.

The previous prime is 4201123. The next prime is 4201177. The reversal of 4201164 is 4611024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40737 + ... + 40839.

Almost surely, 2^4201164 is an apocalyptic number.

4201164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849298).

4201164 is an abundant number, since it is smaller than the sum of its proper divisors (7497432).

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

4201164 is a wasteful number, since it uses less digits than its factorization.

4201164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4201164 is about 2049.6741204396. The cubic root of 4201164 is about 161.3577682332.

Adding to 4201164 its reverse (4611024), we get a palindrome (8812188).

The spelling of 4201164 in words is "four million, two hundred one thousand, one hundred sixty-four".