817379125 has 32 divisors (see below), whose sum is σ = 1086235488. Its totient is φ = 611942400.

The previous prime is 817379113. The next prime is 817379137. The reversal of 817379125 is 521973718.

817379125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (817379113) and next prime (817379137).

It can be written as a sum of positive squares in 16 ways, for example, as 473758756 + 343620369 = 21766^2 + 18537^2 .

It is not a de Polignac number, because 817379125 - 2⁵ = 817379093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409129 + ... + 411121.

It is an arithmetic number, because the mean of its divisors is an integer number (33944859).

Almost surely, 2^817379125 is an apocalyptic number.

817379125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

817379125 is a deficient number, since it is larger than the sum of its proper divisors (268856363).

817379125 is a wasteful number, since it uses less digits than its factorization.

817379125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2208 counting only the distinct ones).

The product of its digits is 105840, while the sum is 43.

The square root of 817379125 is about 28589.8430390934. The cubic root of 817379125 is about 934.9918975153.

The spelling of 817379125 in words is "eight hundred seventeen million, three hundred seventy-nine thousand, one hundred twenty-five".