1003685813 has 8 divisors (see below), whose sum is σ = 1081427256. Its totient is φ = 926020800.

The previous prime is 1003685807. The next prime is 1003685867. The reversal of 1003685813 is 3185863001.

It can be written as a sum of positive squares in 4 ways, for example, as 122367844 + 881317969 = 11062^2 + 29687^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1003685813 - 2²² = 999491509 is a prime.

It is a super-2 number, since 2×1003685813² = 2014770422434941938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003685803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9803 + ... + 45863.

It is an arithmetic number, because the mean of its divisors is an integer number (135178407).

Almost surely, 2^1003685813 is an apocalyptic number.

1003685813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1003685813 is a deficient number, since it is larger than the sum of its proper divisors (77741443).

1003685813 is a wasteful number, since it uses less digits than its factorization.

1003685813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38215.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 1003685813 is about 31681.0008206812. Note that the first 3 decimals coincide. The cubic root of 1003685813 is about 1001.2270979481.

The spelling of 1003685813 in words is "one billion, three million, six hundred eighty-five thousand, eight hundred thirteen".