83977 has 4 divisors (see below), whose sum is σ = 85120. Its totient is φ = 82836.

The previous prime is 83969. The next prime is 83983. The reversal of 83977 is 77938.

83977 is nontrivially palindromic in base 6.

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 83977 - 2³ = 83969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 453 + ... + 610.

It is an arithmetic number, because the mean of its divisors is an integer number (21280).

2⁸³⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

83977 is a deficient number, since it is larger than the sum of its proper divisors (1143).

83977 is a wasteful number, since it uses less digits than its factorization.

83977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142.

The product of its digits is 10584, while the sum is 34.

The square root of 83977 is about 289.7878534376. The cubic root of 83977 is about 43.7911938538.

The spelling of 83977 in words is "eighty-three thousand, nine hundred seventy-seven".