4097000 has 64 divisors (see below), whose sum is σ = 10193040. Its totient is φ = 1536000.

The previous prime is 4096999. The next prime is 4097021. The reversal of 4097000 is 7904.

It can be written as a sum of positive squares in 8 ways, for example, as 806404 + 3290596 = 898^2 + 1814^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 16880 + ... + 17120.

Almost surely, 2^4097000 is an apocalyptic number.

4097000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4097000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096520).

4097000 is an abundant number, since it is smaller than the sum of its proper divisors (6096040).

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

4097000 is a wasteful number, since it uses less digits than its factorization.

4097000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 4097000 is about 2024.1047403729. The cubic root of 4097000 is about 160.0130197738.

The spelling of 4097000 in words is "four million, ninety-seven thousand".