4153842 has 112 divisors (see below), whose sum is σ = 11961792. Its totient is φ = 1049760.

The previous prime is 4153841. The next prime is 4153867. The reversal of 4153842 is 2483514.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3840) is a multiple of the sum of its prime divisors (60).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (4153841) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 112248 + ... + 112284.

Almost surely, 2^4153842 is an apocalyptic number.

4153842 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4153842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5980896).

4153842 is an abundant number, since it is smaller than the sum of its proper divisors (7807950).

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

4153842 is a wasteful number, since it uses less digits than its factorization.

4153842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 60 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 4153842 is about 2038.0976424107. The cubic root of 4153842 is about 160.7496333679.

The spelling of 4153842 in words is "four million, one hundred fifty-three thousand, eight hundred forty-two".