83845 has 8 divisors (see below), whose sum is σ = 103320. Its totient is φ = 65280.

The previous prime is 83843. The next prime is 83857. The reversal of 83845 is 54838.

83845 is a nontrivial binomial coefficient, being equal to C(410, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 6561 + 77284 = 81^2 + 278^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 83845 - 2¹ = 83843 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 409.

It is an arithmetic number, because the mean of its divisors is an integer number (12915).

2⁸³⁸⁴⁵ is an apocalyptic number.

83845 is the 409-th triangular number and also the 205-th hexagonal number.

83845 is the 137-th centered nonagonal number.

It is an amenable number.

83845 is a deficient number, since it is larger than the sum of its proper divisors (19475).

83845 is a wasteful number, since it uses less digits than its factorization.

83845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455.

The product of its digits is 3840, while the sum is 28.

The square root of 83845 is about 289.5600110512. The cubic root of 83845 is about 43.7682372946.

The spelling of 83845 in words is "eighty-three thousand, eight hundred forty-five".