33077 has 8 divisors (see below), whose sum is σ = 37632. Its totient is φ = 28800.

The previous prime is 33073. The next prime is 33083. The reversal of 33077 is 77033.

33077 = 104² + 105² + 106².

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

It is a cyclic number.

It is not a de Polignac number, because 33077 - 2² = 33073 is a prime.

It is a Duffinian number.

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 33077.

It is not an unprimeable number, because it can be changed into a prime (33071) 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, 293 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

2³³⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

33077 is a deficient number, since it is larger than the sum of its proper divisors (4555).

33077 is a wasteful number, since it uses less digits than its factorization.

33077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139.

The product of its (nonzero) digits is 441, while the sum is 20.

The square root of 33077 is about 181.8708332856. The cubic root of 33077 is about 32.1002714107.

Subtracting 33077 from its reverse (77033), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 33077 in words is "thirty-three thousand, seventy-seven".