381507 has 16 divisors (see below), whose sum is σ = 598272. Its totient is φ = 211680.

The previous prime is 381487. The next prime is 381509. The reversal of 381507 is 705183.

It is not a de Polignac number, because 381507 - 2⁶ = 381443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (381509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532 + ... + 1022.

It is an arithmetic number, because the mean of its divisors is an integer number (37392).

2³⁸¹⁵⁰⁷ is an apocalyptic number.

381507 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

381507 is a deficient number, since it is larger than the sum of its proper divisors (216765).

381507 is a wasteful number, since it uses less digits than its factorization.

381507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 381507 is about 617.6625292180. The cubic root of 381507 is about 72.5271875838.

It can be divided in two parts, 381 and 507, that added together give a palindrome (888).

The spelling of 381507 in words is "three hundred eighty-one thousand, five hundred seven".