38357 has 6 divisors (see below), whose sum is σ = 42294. Its totient is φ = 34760.

The previous prime is 38351. The next prime is 38371. The reversal of 38357 is 75383.

It can be written as a sum of positive squares in only one way, i.e., 23716 + 14641 = 154^2 + 121^2 .

It is not a de Polignac number, because 38357 - 2¹² = 34261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38351) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38 + ... + 279.

It is an arithmetic number, because the mean of its divisors is an integer number (7049).

2³⁸³⁵⁷ is an apocalyptic number.

It is an amenable number.

38357 is a deficient number, since it is larger than the sum of its proper divisors (3937).

38357 is a wasteful number, since it uses less digits than its factorization.

38357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 38357 is about 195.8494319624. The cubic root of 38357 is about 33.7247089904.

Adding to 38357 its sum of digits (26), we get a palindrome (38383).

The spelling of 38357 in words is "thirty-eight thousand, three hundred fifty-seven".