9967252 has 6 divisors (see below), whose sum is σ = 17442698. Its totient is φ = 4983624.

The previous prime is 9967249. The next prime is 9967259. The reversal of 9967252 is 2527699.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9217296 + 749956 = 3036^2 + 866^2 .

It is a super-4 number, since 4×9967252⁴ (a number of 29 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an Ulam number.

It is a d-powerful number, because it can be written as 9 + 9² + 6⁵ + 7⁸ + 2⁸ + 5² + 2²² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9967259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1245903 + ... + 1245910.

Almost surely, 2^9967252 is an apocalyptic number.

It is an amenable number.

9967252 is a deficient number, since it is larger than the sum of its proper divisors (7475446).

9967252 is a wasteful number, since it uses less digits than its factorization.

9967252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491817 (or 2491815 counting only the distinct ones).

The product of its digits is 68040, while the sum is 40.

The square root of 9967252 is about 3157.0955006144. The cubic root of 9967252 is about 215.2080337239.

The spelling of 9967252 in words is "nine million, nine hundred sixty-seven thousand, two hundred fifty-two".