4097820 has 48 divisors (see below), whose sum is σ = 11571840. Its totient is φ = 1083456.

The previous prime is 4097813. The next prime is 4097837. The reversal of 4097820 is 287904.

It is a super-3 number, since 3×4097820³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9571 + ... + 9989.

It is an arithmetic number, because the mean of its divisors is an integer number (241080).

Almost surely, 2^4097820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4097820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5785920).

4097820 is an abundant number, since it is smaller than the sum of its proper divisors (7474020).

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

4097820 is a wasteful number, since it uses less digits than its factorization.

4097820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 4097820 is about 2024.3072889263. The cubic root of 4097820 is about 160.0236944076.

The spelling of 4097820 in words is "four million, ninety-seven thousand, eight hundred twenty".