4142712 has 32 divisors (see below), whose sum is σ = 11836800. Its totient is φ = 1183584.

The previous prime is 4142707. The next prime is 4142753. The reversal of 4142712 is 2172414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12162 + ... + 12497.

It is an arithmetic number, because the mean of its divisors is an integer number (369900).

Almost surely, 2^4142712 is an apocalyptic number.

4142712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4142712 is an abundant number, since it is smaller than the sum of its proper divisors (7694088).

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

4142712 is a wasteful number, since it uses less digits than its factorization.

4142712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24675 (or 24671 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 4142712 is about 2035.3653234739. The cubic root of 4142712 is about 160.6059315633.

The spelling of 4142712 in words is "four million, one hundred forty-two thousand, seven hundred twelve".