9952164 has 18 divisors (see below), whose sum is σ = 25156950. Its totient is φ = 3317376.

The previous prime is 9952153. The next prime is 9952213. The reversal of 9952164 is 4612599.

It can be written as a sum of positive squares in only one way, i.e., 7518564 + 2433600 = 2742^2 + 1560^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 276449 = 9952164 / (9 + 9 + 5 + 2 + 1 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 138189 + ... + 138260.

Almost surely, 2^9952164 is an apocalyptic number.

It is an amenable number.

9952164 is an abundant number, since it is smaller than the sum of its proper divisors (15204786).

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

9952164 is a wasteful number, since it uses less digits than its factorization.

9952164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276459 (or 276454 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 9952164 is about 3154.7050575292. The cubic root of 9952164 is about 215.0993879771.

The spelling of 9952164 in words is "nine million, nine hundred fifty-two thousand, one hundred sixty-four".