13705429 has 16 divisors (see below), whose sum is σ = 14897520. Its totient is φ = 12579840.

The previous prime is 13705427. The next prime is 13705457. The reversal of 13705429 is 92450731.

It can be written as a sum of positive squares in 8 ways, for example, as 2992900 + 10712529 = 1730^2 + 3273^2 .

It is a cyclic number.

It is not a de Polignac number, because 13705429 - 2¹ = 13705427 is a prime.

It is a super-3 number, since 3×13705429³ (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13705429.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13705423) 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, 56749 + ... + 56989.

It is an arithmetic number, because the mean of its divisors is an integer number (931095).

Almost surely, 2^13705429 is an apocalyptic number.

It is an amenable number.

13705429 is a deficient number, since it is larger than the sum of its proper divisors (1192091).

13705429 is a wasteful number, since it uses less digits than its factorization.

13705429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 13705429 is about 3702.0844128680. The cubic root of 13705429 is about 239.3118540135.

The spelling of 13705429 in words is "thirteen million, seven hundred five thousand, four hundred twenty-nine".