4967000 has 32 divisors (see below), whose sum is σ = 11625120. Its totient is φ = 1986400.

The previous prime is 4966979. The next prime is 4967023. The reversal of 4967000 is 7694.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1484 + ... + 3483.

It is an arithmetic number, because the mean of its divisors is an integer number (363285).

Almost surely, 2^4967000 is an apocalyptic number.

4967000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4967000 is an abundant number, since it is smaller than the sum of its proper divisors (6658120).

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

4967000 is a wasteful number, since it uses less digits than its factorization.

4967000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 4967000 is about 2228.6767374386. The cubic root of 4967000 is about 170.6205692830.

The spelling of 4967000 in words is "four million, nine hundred sixty-seven thousand".