83031825 has 24 divisors (see below), whose sum is σ = 145356768. Its totient is φ = 41678080.

The previous prime is 83031787. The next prime is 83031887. The reversal of 83031825 is 52813038.

It is a happy number.

It is not a de Polignac number, because 83031825 - 2⁸ = 83031569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83031792 and 83031801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31287 + ... + 33836.

It is an arithmetic number, because the mean of its divisors is an integer number (6056532).

Almost surely, 2^83031825 is an apocalyptic number.

83031825 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83031825 is a deficient number, since it is larger than the sum of its proper divisors (62324943).

83031825 is a wasteful number, since it uses less digits than its factorization.

83031825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65153 (or 65148 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 83031825 is about 9112.1800355349. The cubic root of 83031825 is about 436.2628121896.

The spelling of 83031825 in words is "eighty-three million, thirty-one thousand, eight hundred twenty-five".