4213985 has 12 divisors (see below), whose sum is σ = 5231124. Its totient is φ = 3258720.

The previous prime is 4213969. The next prime is 4213999. The reversal of 4213985 is 5893124.

It can be written as a sum of positive squares in 2 ways, for example, as 2598544 + 1615441 = 1612^2 + 1271^2 .

It is not a de Polignac number, because 4213985 - 2⁴ = 4213969 is a prime.

It is a super-3 number, since 3×4213985³ (a number of 21 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4367 + ... + 5243.

It is an arithmetic number, because the mean of its divisors is an integer number (435927).

Almost surely, 2^4213985 is an apocalyptic number.

It is an amenable number.

4213985 is a deficient number, since it is larger than the sum of its proper divisors (1017139).

4213985 is an equidigital number, since it uses as much as digits as its factorization.

4213985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 913 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 4213985 is about 2052.7993082618. The cubic root of 4213985 is about 161.5217439819.

It can be divided in two parts, 42139 and 85, that added together give a palindrome (42224).

The spelling of 4213985 in words is "four million, two hundred thirteen thousand, nine hundred eighty-five".