13985034 has 32 divisors (see below), whose sum is σ = 32081280. Its totient is φ = 3981312.

The previous prime is 13985029. The next prime is 13985039. The reversal of 13985034 is 43058931.

It is an interprime number because it is at equal distance from previous prime (13985029) and next prime (13985039).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13984986 and 13985004.

It is not an unprimeable number, because it can be changed into a prime (13985039) 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 15 ways as a sum of consecutive naturals, for example, 17802 + ... + 18570.

It is an arithmetic number, because the mean of its divisors is an integer number (1002540).

Almost surely, 2^13985034 is an apocalyptic number.

13985034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13985034 is an abundant number, since it is smaller than the sum of its proper divisors (18096246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13985034 is a wasteful number, since it uses less digits than its factorization.

13985034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214.

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

The square root of 13985034 is about 3739.6569361373. The cubic root of 13985034 is about 240.9283143942.

The spelling of 13985034 in words is "thirteen million, nine hundred eighty-five thousand, thirty-four".