33977 has 4 divisors (see below), whose sum is σ = 34596. Its totient is φ = 33360.

The previous prime is 33967. The next prime is 33997. The reversal of 33977 is 77933.

33977 is nontrivially palindromic in base 5.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1936 + 32041 = 44^2 + 179^2 .

It is a cyclic number.

It is not a de Polignac number, because 33977 - 2⁴ = 33961 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33977.

It is not an unprimeable number, because it can be changed into a prime (33937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 218 + ... + 339.

It is an arithmetic number, because the mean of its divisors is an integer number (8649).

2³³⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

33977 is a deficient number, since it is larger than the sum of its proper divisors (619).

33977 is an equidigital number, since it uses as much as digits as its factorization.

33977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618.

The product of its digits is 3969, while the sum is 29.

The square root of 33977 is about 184.3285110882. The cubic root of 33977 is about 32.3888113579.

Subtracting 33977 from its reverse (77933), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 33977 in words is "thirty-three thousand, nine hundred seventy-seven".