813792105 has 24 divisors (see below), whose sum is σ = 1612084032. Its totient is φ = 372019104.

The previous prime is 813792103. The next prime is 813792121. The reversal of 813792105 is 501297318.

It is not a de Polignac number, because 813792105 - 2¹ = 813792103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 813792105.

It is not an unprimeable number, because it can be changed into a prime (813792103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1291419 + ... + 1292048.

It is an arithmetic number, because the mean of its divisors is an integer number (67170168).

Almost surely, 2^813792105 is an apocalyptic number.

It is an amenable number.

813792105 is a deficient number, since it is larger than the sum of its proper divisors (798291927).

813792105 is a wasteful number, since it uses less digits than its factorization.

813792105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583485 (or 2583482 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 813792105 is about 28527.0416447272. The cubic root of 813792105 is about 933.6221730040.

It can be divided in two parts, 81 and 3792105, that multiplied together give a triangular number (307160505 = T₂₄₇₈₅).

The spelling of 813792105 in words is "eight hundred thirteen million, seven hundred ninety-two thousand, one hundred five".