38077 has 8 divisors (see below), whose sum is σ = 42840. Its totient is φ = 33600.

The previous prime is 38069. The next prime is 38083. The reversal of 38077 is 77083.

It can be written as a sum of positive squares in 4 ways, for example, as 8836 + 29241 = 94^2 + 171^2 .

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 38077 - 2³ = 38069 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38047) 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, 327 + ... + 427.

It is an arithmetic number, because the mean of its divisors is an integer number (5355).

2³⁸⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

38077 is a deficient number, since it is larger than the sum of its proper divisors (4763).

38077 is a wasteful number, since it uses less digits than its factorization.

38077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 38077 is about 195.1332877804. The cubic root of 38077 is about 33.6424468268.

The spelling of 38077 in words is "thirty-eight thousand, seventy-seven".