38431 has 2 divisors, whose sum is σ = 38432. Its totient is φ = 38430.

The previous prime is 38393. The next prime is 38447. The reversal of 38431 is 13483.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 38431 - 2⁷ = 38303 is a prime.

It is a super-2 number, since 2×38431² = 2953883522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38399 and 38408.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19215 + 19216.

It is an arithmetic number, because the mean of its divisors is an integer number (19216).

2³⁸⁴³¹ is an apocalyptic number.

38431 is a deficient number, since it is larger than the sum of its proper divisors (1).

38431 is an equidigital number, since it uses as much as digits as its factorization.

38431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 19.

The square root of 38431 is about 196.0382615716. The cubic root of 38431 is about 33.7463827856.

It can be divided in two parts, 3843 and 1, that added together give a square (3844 = 62²).

The spelling of 38431 in words is "thirty-eight thousand, four hundred thirty-one".