77133 has 8 divisors (see below), whose sum is σ = 117568. Its totient is φ = 44064.

The previous prime is 77101. The next prime is 77137. The reversal of 77133 is 33177.

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

It is not a de Polignac number, because 77133 - 2⁵ = 77101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 3673 = 77133 / (7 + 7 + 1 + 3 + 3).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77137) 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, 1816 + ... + 1857.

It is an arithmetic number, because the mean of its divisors is an integer number (14696).

2⁷⁷¹³³ is an apocalyptic number.

It is an amenable number.

77133 is a deficient number, since it is larger than the sum of its proper divisors (40435).

77133 is a wasteful number, since it uses less digits than its factorization.

77133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683.

The product of its digits is 441, while the sum is 21.

The square root of 77133 is about 277.7282844796. The cubic root of 77133 is about 42.5676891364.

Subtracting from 77133 its reverse (33177), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 77 and 133, that added together give a triangular number (210 = T₂₀).

The spelling of 77133 in words is "seventy-seven thousand, one hundred thirty-three".