83277 has 12 divisors (see below), whose sum is σ = 126880. Its totient is φ = 52488.

The previous prime is 83273. The next prime is 83299. The reversal of 83277 is 77238.

It is not a de Polignac number, because 83277 - 2² = 83273 is a prime.

It is a Duffinian number.

83277 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 83277.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83277.

It is not an unprimeable number, because it can be changed into a prime (83273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73 + ... + 414.

2⁸³²⁷⁷ is an apocalyptic number.

It is an amenable number.

83277 is a deficient number, since it is larger than the sum of its proper divisors (43603).

83277 is a wasteful number, since it uses less digits than its factorization.

83277 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 509 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 83277 is about 288.5775459040. The cubic root of 83277 is about 43.6691786783.

It can be divided in two parts, 832 and 77, that added together give a palindrome (909).

The spelling of 83277 in words is "eighty-three thousand, two hundred seventy-seven".