13084935 has 16 divisors (see below), whose sum is σ = 21098880. Its totient is φ = 6924320.

The previous prime is 13084933. The next prime is 13084949. The reversal of 13084935 is 53948031.

13084935 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13084935 - 2¹ = 13084933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13084896 and 13084905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13084931) 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, 1365 + ... + 5294.

It is an arithmetic number, because the mean of its divisors is an integer number (1318680).

Almost surely, 2^13084935 is an apocalyptic number.

13084935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13084935 is a deficient number, since it is larger than the sum of its proper divisors (8013945).

13084935 is a wasteful number, since it uses less digits than its factorization.

13084935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6798.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 13084935 is about 3617.3104649726. The cubic root of 13084935 is about 235.6444360789.

The spelling of 13084935 in words is "thirteen million, eighty-four thousand, nine hundred thirty-five".