4282712 has 32 divisors (see below), whose sum is σ = 9477120. Its totient is φ = 1775520.

The previous prime is 4282711. The next prime is 4282723. The reversal of 4282712 is 2172824.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 4⁷ + 2¹¹ + 8⁴ + 2¹⁶ + 7³ + 1 + 2²² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4282711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503 + ... + 2969.

It is an arithmetic number, because the mean of its divisors is an integer number (296160).

Almost surely, 2^4282712 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 4282712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738560).

4282712 is an abundant number, since it is smaller than the sum of its proper divisors (5194408).

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

4282712 is a wasteful number, since it uses less digits than its factorization.

4282712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2507 counting only the distinct ones).

The product of its digits is 1792, while the sum is 26.

The square root of 4282712 is about 2069.4714301000. The cubic root of 4282712 is about 162.3951133799.

It can be divided in two parts, 4282 and 712, that added together give a palindrome (4994).

The spelling of 4282712 in words is "four million, two hundred eighty-two thousand, seven hundred twelve".