4191000 has 128 divisors (see below), whose sum is σ = 14376960. Its totient is φ = 1008000.

The previous prime is 4190999. The next prime is 4191013. The reversal of 4191000 is 1914.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32937 + ... + 33063.

It is an arithmetic number, because the mean of its divisors is an integer number (112320).

Almost surely, 2^4191000 is an apocalyptic number.

4191000 is a gapful number since it is divisible by the number (40) 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 4191000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188480).

4191000 is an abundant number, since it is smaller than the sum of its proper divisors (10185960).

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

4191000 is a wasteful number, since it uses less digits than its factorization.

4191000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 4191000 is about 2047.1932004576. The cubic root of 4191000 is about 161.2275372832.

Adding to 4191000 its reverse (1914), we get a palindrome (4192914).

The spelling of 4191000 in words is "four million, one hundred ninety-one thousand".