832117962025 has 81 divisors (see below), whose sum is σ = 1221610196709. Its totient is φ = 560633895360.

The previous prime is 832117962001. The next prime is 832117962029. The reversal of 832117962025 is 520269711238.

The square root of 832117962025 is 912205.

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

It can be written as a sum of positive squares in 4 ways, for example, as 138322254889 + 693795707136 = 371917^2 + 832944^2 .

It is not a de Polignac number, because 832117962025 - 2¹⁹ = 832117437737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (832117962029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2139120531 + ... + 2139120919.

Almost surely, 2^832117962025 is an apocalyptic number.

832117962025 is the 912205-th square number.

832117962025 is the 456103-rd centered octagonal number.

It is an amenable number.

832117962025 is a deficient number, since it is larger than the sum of its proper divisors (389492234684).

832117962025 is an frugal number, since it uses more digits than its factorization.

832117962025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 832117962025 in words is "eight hundred thirty-two billion, one hundred seventeen million, nine hundred sixty-two thousand, twenty-five".