9671739025 has 81 divisors (see below), whose sum is σ = 13952045721. Its totient is φ = 6646548480.

The previous prime is 9671739023. The next prime is 9671739031. The reversal of 9671739025 is 5209371769.

The square root of 9671739025 is 98345.

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

It can be written as a sum of positive squares in 40 ways, for example, as 6865282449 + 2806456576 = 82857^2 + 52976^2 .

It is not a de Polignac number, because 9671739025 - 2¹ = 9671739023 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9671739025.

It is not an unprimeable number, because it can be changed into a prime (9671739023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 108671181 + ... + 108671269.

Almost surely, 2^9671739025 is an apocalyptic number.

9671739025 is the 98345-th square number.

9671739025 is the 49173-rd centered octagonal number.

It is an amenable number.

9671739025 is a deficient number, since it is larger than the sum of its proper divisors (4280306696).

9671739025 is a wasteful number, since it uses less digits than its factorization.

9671739025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 49.

The cubic root of 9671739025 is about 2130.5980397329.

Multiplying 9671739025 by its sum of digits (49), we get a square (473915212225 = 688415²).

The spelling of 9671739025 in words is "nine billion, six hundred seventy-one million, seven hundred thirty-nine thousand, twenty-five".