38773 has 8 divisors (see below), whose sum is σ = 46080. Its totient is φ = 31920.

The previous prime is 38767. The next prime is 38783. The reversal of 38773 is 37783.

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

It is not a de Polignac number, because 38773 - 2⁹ = 38261 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38713) 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, 108 + ... + 298.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2³⁸⁷⁷³ is an apocalyptic number.

It is an amenable number.

38773 is a deficient number, since it is larger than the sum of its proper divisors (7307).

38773 is a wasteful number, since it uses less digits than its factorization.

38773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227.

The product of its digits is 3528, while the sum is 28.

The square root of 38773 is about 196.9086082425. The cubic root of 38773 is about 33.8461910627.

Subtracting from 38773 its product of digits (3528), we obtain a triangular number (35245 = T₂₆₅).

Subtracting from 38773 its reverse (37783), we obtain a triangular number (990 = T₄₄).

The spelling of 38773 in words is "thirty-eight thousand, seven hundred seventy-three".