815949 has 12 divisors (see below), whose sum is σ = 1248156. Its totient is φ = 511872.

The previous prime is 815939. The next prime is 815953. The reversal of 815949 is 949518.

It can be written as a sum of positive squares in 2 ways, for example, as 756900 + 59049 = 870^2 + 243^2 .

It is not a de Polignac number, because 815949 - 2⁴ = 815933 is a prime.

It is a Curzon number.

815949 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2514 + ... + 2819.

It is an arithmetic number, because the mean of its divisors is an integer number (104013).

2⁸¹⁵⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

815949 is a deficient number, since it is larger than the sum of its proper divisors (432207).

815949 is a wasteful number, since it uses less digits than its factorization.

815949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5356 (or 5353 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 815949 is about 903.2989538353. The cubic root of 815949 is about 93.4446277229. Note that the first 3 decimals are identical.

It can be divided in two parts, 815 and 949, that added together give a square (1764 = 42²).

The spelling of 815949 in words is "eight hundred fifteen thousand, nine hundred forty-nine".