9667805625 has 225 divisors, whose sum is σ = 19910699193. Its totient is φ = 4672404000.

The previous prime is 9667805557. The next prime is 9667805629. The reversal of 9667805625 is 5265087669.

It is a happy number.

The square root of 9667805625 is 98325.

It is a perfect power (a square), and thus also a powerful number.

9667805625 is a `hidden beast` number, since 9 + 6 + 6 + 7 + 8 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 757955961 + 8909849664 = 27531^2 + 94392^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 9667805625 - 2¹¹ = 9667803577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9667805629) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 420339364 + ... + 420339386.

Almost surely, 2^9667805625 is an apocalyptic number.

9667805625 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

9667805625 is the 98325-th square number.

9667805625 is the 49163-rd centered octagonal number.

It is an amenable number.

9667805625 is an abundant number, since it is smaller than the sum of its proper divisors (10242893568).

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

9667805625 is an equidigital number, since it uses as much as digits as its factorization.

9667805625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The cubic root of 9667805625 is about 2130.3091695634.

The spelling of 9667805625 in words is "nine billion, six hundred sixty-seven million, eight hundred five thousand, six hundred twenty-five".