4187412 has 36 divisors (see below), whose sum is σ = 10846836. Its totient is φ = 1361280.

The previous prime is 4187411. The next prime is 4187413. The reversal of 4187412 is 2147814.

It is an interprime number because it is at equal distance from previous prime (4187411) and next prime (4187413).

It can be written as a sum of positive squares in 2 ways, for example, as 171396 + 4016016 = 414^2 + 2004^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4187411) 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 11 ways as a sum of consecutive naturals, for example, 58 + ... + 2894.

It is an arithmetic number, because the mean of its divisors is an integer number (301301).

Almost surely, 2^4187412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4187412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423418).

4187412 is an abundant number, since it is smaller than the sum of its proper divisors (6659424).

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

4187412 is a wasteful number, since it uses less digits than its factorization.

4187412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2883 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 4187412 is about 2046.3166910329. The cubic root of 4187412 is about 161.1815140934.

The spelling of 4187412 in words is "four million, one hundred eighty-seven thousand, four hundred twelve".