807381 has 16 divisors (see below), whose sum is σ = 1267200. Its totient is φ = 506304.

The previous prime is 807379. The next prime is 807383. The reversal of 807381 is 183708.

807381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (807379) and next prime (807383).

It is not a de Polignac number, because 807381 - 2¹ = 807379 is a prime.

It is a super-2 number, since 2×807381² = 1303728158322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

807381 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807383) 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, 421 + ... + 1338.

It is an arithmetic number, because the mean of its divisors is an integer number (79200).

2⁸⁰⁷³⁸¹ is an apocalyptic number.

It is an amenable number.

807381 is a deficient number, since it is larger than the sum of its proper divisors (459819).

807381 is a wasteful number, since it uses less digits than its factorization.

807381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 807381 is about 898.5438219697. The cubic root of 807381 is about 93.1163995180.

The spelling of 807381 in words is "eight hundred seven thousand, three hundred eighty-one".