82691825 has 12 divisors (see below), whose sum is σ = 108570060. Its totient is φ = 62261760.

The previous prime is 82691813. The next prime is 82691839. The reversal of 82691825 is 52819628.

It can be written as a sum of positive squares in 6 ways, for example, as 5550736 + 77141089 = 2356^2 + 8783^2 .

It is not a de Polignac number, because 82691825 - 2⁴ = 82691809 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96860 + ... + 97709.

It is an arithmetic number, because the mean of its divisors is an integer number (9047505).

Almost surely, 2^82691825 is an apocalyptic number.

82691825 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82691825 is a deficient number, since it is larger than the sum of its proper divisors (25878235).

82691825 is a wasteful number, since it uses less digits than its factorization.

82691825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194596 (or 194591 counting only the distinct ones).

The product of its digits is 69120, while the sum is 41.

The square root of 82691825 is about 9093.5045499521. The cubic root of 82691825 is about 435.6665256515. Note that the first 3 decimals are identical.

The spelling of 82691825 in words is "eighty-two million, six hundred ninety-one thousand, eight hundred twenty-five".