83871625 has 32 divisors (see below), whose sum is σ = 114734880. Its totient is φ = 60928000.

The previous prime is 83871607. The next prime is 83871631. The reversal of 83871625 is 52617838.

It can be written as a sum of positive squares in 16 ways, for example, as 60793209 + 23078416 = 7797^2 + 4804^2 .

It is not a de Polignac number, because 83871625 - 2¹³ = 83863433 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60945 + ... + 62305.

It is an arithmetic number, because the mean of its divisors is an integer number (3585465).

Almost surely, 2^83871625 is an apocalyptic number.

83871625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83871625 is a deficient number, since it is larger than the sum of its proper divisors (30863255).

83871625 is a wasteful number, since it uses less digits than its factorization.

83871625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1412 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 83871625 is about 9158.1452816605. The cubic root of 83871625 is about 437.7286967578.

The spelling of 83871625 in words is "eighty-three million, eight hundred seventy-one thousand, six hundred twenty-five".