4142985 has 64 divisors (see below), whose sum is σ = 8792064. Its totient is φ = 1612800.

The previous prime is 4142947. The next prime is 4142989. The reversal of 4142985 is 5892414.

4142985 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 4142985 - 2⁷ = 4142857 is a prime.

It is a super-3 number, since 3×4142985³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

4142985 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4142989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19530 + ... + 19740.

It is an arithmetic number, because the mean of its divisors is an integer number (137376).

Almost surely, 2^4142985 is an apocalyptic number.

It is an amenable number.

4142985 is an abundant number, since it is smaller than the sum of its proper divisors (4649079).

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

4142985 is a wasteful number, since it uses less digits than its factorization.

4142985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254.

The product of its digits is 11520, while the sum is 33.

The square root of 4142985 is about 2035.4323864968. The cubic root of 4142985 is about 160.6094594018.

It can be divided in two parts, 41429 and 85, that added together give a palindrome (41514).

The spelling of 4142985 in words is "four million, one hundred forty-two thousand, nine hundred eighty-five".