83525827 has 32 divisors (see below), whose sum is σ = 107702784. Its totient is φ = 62899200.

The previous prime is 83525807. The next prime is 83525839. The reversal of 83525827 is 72852538.

It is a de Polignac number, because none of the positive numbers 2^k-83525827 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83525827.

It is not an unprimeable number, because it can be changed into a prime (83525807) 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, 395752 + ... + 395962.

It is an arithmetic number, because the mean of its divisors is an integer number (3365712).

Almost surely, 2^83525827 is an apocalyptic number.

83525827 is a deficient number, since it is larger than the sum of its proper divisors (24176957).

83525827 is a wasteful number, since it uses less digits than its factorization.

With its successor (83525828) it forms an eRAP, since the sums of their prime factors are consecutive (379 and 380).

83525827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379.

The product of its digits is 134400, while the sum is 40.

The square root of 83525827 is about 9139.2465225532. The cubic root of 83525827 is about 437.1262911576.

Subtracting from 83525827 its reverse (72852538), we obtain a square (10673289 = 3267²).

It can be divided in two parts, 835 and 25827, that added together give a palindrome (26662).

The spelling of 83525827 in words is "eighty-three million, five hundred twenty-five thousand, eight hundred twenty-seven".