8291925 has 36 divisors (see below), whose sum is σ = 15015780. Its totient is φ = 4373760.

The previous prime is 8291909. The next prime is 8291929. The reversal of 8291925 is 5291928.

It can be written as a sum of positive squares in 6 ways, for example, as 1034289 + 7257636 = 1017^2 + 2694^2 .

It is not a de Polignac number, because 8291925 - 2⁴ = 8291909 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8291925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8291929) 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 35 ways as a sum of consecutive naturals, for example, 30691 + ... + 30959.

It is an arithmetic number, because the mean of its divisors is an integer number (417105).

Almost surely, 2^8291925 is an apocalyptic number.

It is an amenable number.

8291925 is a deficient number, since it is larger than the sum of its proper divisors (6723855).

8291925 is a wasteful number, since it uses less digits than its factorization.

8291925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 8291925 is about 2879.5702804412. The cubic root of 8291925 is about 202.4037036432.

It can be divided in two parts, 82919 and 25, that added together give a square (82944 = 288²).

The spelling of 8291925 in words is "eight million, two hundred ninety-one thousand, nine hundred twenty-five".