83475 has 36 divisors (see below), whose sum is σ = 174096. Its totient is φ = 37440.

The previous prime is 83471. The next prime is 83477. The reversal of 83475 is 57438.

It is not a de Polignac number, because 83475 - 2² = 83471 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1549 + ... + 1601.

It is an arithmetic number, because the mean of its divisors is an integer number (4836).

2⁸³⁴⁷⁵ is an apocalyptic number.

83475 is an abundant number, since it is smaller than the sum of its proper divisors (90621).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87048).

83475 is a wasteful number, since it uses less digits than its factorization.

83475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 68 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 83475 is about 288.9204042639. The cubic root of 83475 is about 43.7037606707.

It can be divided in two parts, 834 and 75, that added together give a palindrome (909).

The spelling of 83475 in words is "eighty-three thousand, four hundred seventy-five".