83545 has 24 divisors (see below), whose sum is σ = 131328. Its totient is φ = 50400.

The previous prime is 83537. The next prime is 83557. The reversal of 83545 is 54538.

It is a happy number.

83545 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 83545 - 2³ = 83537 is a prime.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

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, 2680 + ... + 2710.

It is an arithmetic number, because the mean of its divisors is an integer number (5472).

2⁸³⁵⁴⁵ is an apocalyptic number.

It is an amenable number.

83545 is a deficient number, since it is larger than the sum of its proper divisors (47783).

83545 is a wasteful number, since it uses less digits than its factorization.

83545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 54 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 83545 is about 289.0415195089. The cubic root of 83545 is about 43.7159735429.

It can be divided in two parts, 8 and 3545, that added together give a palindrome (3553).

The spelling of 83545 in words is "eighty-three thousand, five hundred forty-five".