3997000 has 64 divisors (see below), whose sum is σ = 10707840. Its totient is φ = 1368000.

The previous prime is 3996977. The next prime is 3997001. The reversal of 3997000 is 7993.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3997000.

It is not an unprimeable number, because it can be changed into a prime (3997001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6715 + ... + 7285.

It is an arithmetic number, because the mean of its divisors is an integer number (167310).

Almost surely, 2^3997000 is an apocalyptic number.

3997000 is the 1000-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3997000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353920).

3997000 is an abundant number, since it is smaller than the sum of its proper divisors (6710840).

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

3997000 is a wasteful number, since it uses less digits than its factorization.

3997000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 28.

The square root of 3997000 is about 1999.2498593222. The cubic root of 3997000 is about 158.7004102451.

The spelling of 3997000 in words is "three million, nine hundred ninety-seven thousand".