4205032 has 16 divisors (see below), whose sum is σ = 8491140. Its totient is φ = 1940736.

The previous prime is 4205027. The next prime is 4205039. The reversal of 4205032 is 2305024.

4205032 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 3587236 + 617796 = 1894^2 + 786^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4204997 and 4205015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205039) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20113 + ... + 20320.

Almost surely, 2^4205032 is an apocalyptic number.

It is an amenable number.

4205032 is an abundant number, since it is smaller than the sum of its proper divisors (4286108).

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

4205032 is a wasteful number, since it uses less digits than its factorization.

4205032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40452 (or 40448 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 4205032 is about 2050.6174679837. The cubic root of 4205032 is about 161.4072735925.

It can be divided in two parts, 42050 and 32, that multiplied together give a square (1345600 = 1160²).

The spelling of 4205032 in words is "four million, two hundred five thousand, thirty-two".