4132820 has 12 divisors (see below), whose sum is σ = 8678964. Its totient is φ = 1653120.

The previous prime is 4132783. The next prime is 4132829. The reversal of 4132820 is 282314.

It can be written as a sum of positive squares in 2 ways, for example, as 620944 + 3511876 = 788^2 + 1874^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 206641 = 4132820 / (4 + 1 + 3 + 2 + 8 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 4132792 and 4132801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132829) 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, 103301 + ... + 103340.

It is an arithmetic number, because the mean of its divisors is an integer number (723247).

Almost surely, 2^4132820 is an apocalyptic number.

It is an amenable number.

4132820 is an abundant number, since it is smaller than the sum of its proper divisors (4546144).

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

4132820 is a wasteful number, since it uses less digits than its factorization.

4132820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206650 (or 206648 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4132820 is about 2032.9338405369. The cubic root of 4132820 is about 160.4779976503.

It can be divided in two parts, 41 and 32820, that multiplied together give a triangular number (1345620 = T₁₆₄₀).

The spelling of 4132820 in words is "four million, one hundred thirty-two thousand, eight hundred twenty".