38477 has 4 divisors (see below), whose sum is σ = 38940. Its totient is φ = 38016.

The previous prime is 38461. The next prime is 38501. The reversal of 38477 is 77483.

38477 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 77483 = 7 ⋅11069.

It can be written as a sum of positive squares in 2 ways, for example, as 21316 + 17161 = 146^2 + 131^2 .

It is a cyclic number.

It is not a de Polignac number, because 38477 - 2⁴ = 38461 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11 and base 13.

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 38477.

It is not an unprimeable number, because it can be changed into a prime (38447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68 + ... + 285.

It is an arithmetic number, because the mean of its divisors is an integer number (9735).

2³⁸⁴⁷⁷ is an apocalyptic number.

It is an amenable number.

38477 is a deficient number, since it is larger than the sum of its proper divisors (463).

38477 is a wasteful number, since it uses less digits than its factorization.

38477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462.

The product of its digits is 4704, while the sum is 29.

The square root of 38477 is about 196.1555505205. The cubic root of 38477 is about 33.7598416657.

It can be divided in two parts, 38 and 477, that added together give a palindrome (515).

The spelling of 38477 in words is "thirty-eight thousand, four hundred seventy-seven".