381249 has 12 divisors (see below), whose sum is σ = 600912. Its totient is φ = 231000.

The previous prime is 381239. The next prime is 381253. The reversal of 381249 is 942183.

It is not a de Polignac number, because 381249 - 2⁴ = 381233 is a prime.

It is a Curzon number.

381249 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (381209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1827 + ... + 2024.

It is an arithmetic number, because the mean of its divisors is an integer number (50076).

2³⁸¹²⁴⁹ is an apocalyptic number.

It is an amenable number.

381249 is a deficient number, since it is larger than the sum of its proper divisors (219663).

381249 is a wasteful number, since it uses less digits than its factorization.

381249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3865 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 381249 is about 617.4536419846. The cubic root of 381249 is about 72.5108346867.

It can be divided in two parts, 381 and 249, that added together give a triangular number (630 = T₃₅).

The spelling of 381249 in words is "three hundred eighty-one thousand, two hundred forty-nine".