38262 has 16 divisors (see below), whose sum is σ = 87552. Its totient is φ = 10920.

The previous prime is 38261. The next prime is 38273. The reversal of 38262 is 26283.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 8.

It is a nialpdrome in base 14.

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 38262.

It is not an unprimeable number, because it can be changed into a prime (38261) 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, 414 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (5472).

2³⁸²⁶² is an apocalyptic number.

38262 is an abundant number, since it is smaller than the sum of its proper divisors (49290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43776).

38262 is a wasteful number, since it uses less digits than its factorization.

38262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923.

The product of its digits is 576, while the sum is 21.

The square root of 38262 is about 195.6067483498. The cubic root of 38262 is about 33.6968436201.

Adding to 38262 its sum of digits (21), we get a palindrome (38283).

It can be divided in two parts, 3826 and 2, that added together give a triangular number (3828 = T₈₇).

The spelling of 38262 in words is "thirty-eight thousand, two hundred sixty-two".