4187742 has 32 divisors (see below), whose sum is σ = 9199008. Its totient is φ = 1262976.

The previous prime is 4187741. The next prime is 4187753. The reversal of 4187742 is 2477814.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4187741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3628 + ... + 4640.

It is an arithmetic number, because the mean of its divisors is an integer number (287469).

Almost surely, 2^4187742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4187742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599504).

4187742 is an abundant number, since it is smaller than the sum of its proper divisors (5011266).

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

4187742 is a wasteful number, since it uses less digits than its factorization.

4187742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084.

The product of its digits is 12544, while the sum is 33.

The square root of 4187742 is about 2046.3973221249. The cubic root of 4187742 is about 161.1857480930.

The spelling of 4187742 in words is "four million, one hundred eighty-seven thousand, seven hundred forty-two".