38775 has 24 divisors (see below), whose sum is σ = 71424. Its totient is φ = 18400.

The previous prime is 38767. The next prime is 38783. The reversal of 38775 is 57783.

38775 = 31² + 32² + ... + 52².

It is an interprime number because it is at equal distance from previous prime (38767) and next prime (38783).

It is not a de Polignac number, because 38775 - 2³ = 38767 is a prime.

38775 is a lucky number.

It is a plaindrome in base 8.

It is a nialpdrome in base 15 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802 + ... + 848.

It is an arithmetic number, because the mean of its divisors is an integer number (2976).

2³⁸⁷⁷⁵ is an apocalyptic number.

38775 is a deficient number, since it is larger than the sum of its proper divisors (32649).

38775 is a wasteful number, since it uses less digits than its factorization.

38775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 66 counting only the distinct ones).

The product of its digits is 5880, while the sum is 30.

The square root of 38775 is about 196.9136866752. The cubic root of 38775 is about 33.8467730073.

It can be divided in two parts, 3 and 8775, that added together give a palindrome (8778).

The spelling of 38775 in words is "thirty-eight thousand, seven hundred seventy-five".