83677 has 4 divisors (see below), whose sum is σ = 91296. Its totient is φ = 76060.

The previous prime is 83663. The next prime is 83689. The reversal of 83677 is 77638.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 83677 - 2¹¹ = 81629 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83617) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3793 + ... + 3814.

It is an arithmetic number, because the mean of its divisors is an integer number (22824).

2⁸³⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

83677 is a deficient number, since it is larger than the sum of its proper divisors (7619).

83677 is a wasteful number, since it uses less digits than its factorization.

83677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7618.

The product of its digits is 7056, while the sum is 31.

The square root of 83677 is about 289.2697702837. The cubic root of 83677 is about 43.7389849821.

The spelling of 83677 in words is "eighty-three thousand, six hundred seventy-seven".