9972006 has 16 divisors (see below), whose sum is σ = 21757248. Its totient is φ = 3021800.

The previous prime is 9971993. The next prime is 9972007. The reversal of 9972006 is 6002799.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972007) 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, 75480 + ... + 75611.

It is an arithmetic number, because the mean of its divisors is an integer number (1359828).

Almost surely, 2^9972006 is an apocalyptic number.

9972006 is an abundant number, since it is smaller than the sum of its proper divisors (11785242).

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

9972006 is a wasteful number, since it uses less digits than its factorization.

9972006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151107.

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 9972006 is about 3157.8483180799. The cubic root of 9972006 is about 215.2422436337.

It can be divided in two parts, 997 and 2006, that added together give a palindrome (3003).

The spelling of 9972006 in words is "nine million, nine hundred seventy-two thousand, six".