9967000 has 32 divisors (see below), whose sum is σ = 23325120. Its totient is φ = 3986400.

The previous prime is 9966997. The next prime is 9967003. The reversal of 9967000 is 7699.

It is an interprime number because it is at equal distance from previous prime (9966997) and next prime (9967003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9967003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3984 + ... + 5983.

It is an arithmetic number, because the mean of its divisors is an integer number (728910).

Almost surely, 2^9967000 is an apocalyptic number.

It is an amenable number.

9967000 is an abundant number, since it is smaller than the sum of its proper divisors (13358120).

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

9967000 is a wasteful number, since it uses less digits than its factorization.

9967000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9988 (or 9974 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 9967000 is about 3157.0555902613. The cubic root of 9967000 is about 215.2062200217.

The spelling of 9967000 in words is "nine million, nine hundred sixty-seven thousand".