815379841 has 16 divisors (see below), whose sum is σ = 850529680. Its totient is φ = 781021440.

The previous prime is 815379839. The next prime is 815379847. The reversal of 815379841 is 148973518.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 70308225 + 745071616 = 8385^2 + 27296^2 .

It is a cyclic number.

It is not a de Polignac number, because 815379841 - 2¹ = 815379839 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 815379791 and 815379800.

It is not an unprimeable number, because it can be changed into a prime (815379847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729415 + ... + 730531.

It is an arithmetic number, because the mean of its divisors is an integer number (53158105).

Almost surely, 2^815379841 is an apocalyptic number.

It is an amenable number.

815379841 is a deficient number, since it is larger than the sum of its proper divisors (35149839).

815379841 is a wasteful number, since it uses less digits than its factorization.

815379841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444.

The product of its digits is 241920, while the sum is 46.

The square root of 815379841 is about 28554.8566972415. The cubic root of 815379841 is about 934.2289547335.

It can be divided in two parts, 81537 and 9841, that added together give a triangular number (91378 = T₄₂₇).

The spelling of 815379841 in words is "eight hundred fifteen million, three hundred seventy-nine thousand, eight hundred forty-one".