83281125 has 32 divisors (see below), whose sum is σ = 139201920. Its totient is φ = 44217600.

The previous prime is 83281111. The next prime is 83281129. The reversal of 83281125 is 52118238.

It is not a de Polignac number, because 83281125 - 2⁴ = 83281109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83281092 and 83281101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83281129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126046 + ... + 126704.

It is an arithmetic number, because the mean of its divisors is an integer number (4350060).

Almost surely, 2^83281125 is an apocalyptic number.

It is an amenable number.

83281125 is a deficient number, since it is larger than the sum of its proper divisors (55920795).

83281125 is a wasteful number, since it uses less digits than its factorization.

83281125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1004 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 83281125 is about 9125.8492755469. The cubic root of 83281125 is about 436.6989969523.

It can be divided in two parts, 8328 and 1125, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 83281125 in words is "eighty-three million, two hundred eighty-one thousand, one hundred twenty-five".