8013819 has 16 divisors (see below), whose sum is σ = 11942784. Its totient is φ = 4737600.

The previous prime is 8013809. The next prime is 8013857. The reversal of 8013819 is 9183108.

It is not a de Polignac number, because 8013819 - 2²⁰ = 6965243 is a prime.

It is a super-2 number, since 2×8013819² = 128442589929522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8013809) 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, 1609 + ... + 4314.

It is an arithmetic number, because the mean of its divisors is an integer number (746424).

Almost surely, 2^8013819 is an apocalyptic number.

8013819 is a deficient number, since it is larger than the sum of its proper divisors (3928965).

8013819 is a wasteful number, since it uses less digits than its factorization.

8013819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978.

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 8013819 is about 2830.8689478674. The cubic root of 8013819 is about 200.1150920897.

The spelling of 8013819 in words is "eight million, thirteen thousand, eight hundred nineteen".