13705670 has 48 divisors (see below), whose sum is σ = 27808704. Its totient is φ = 4857600.

The previous prime is 13705667. The next prime is 13705673. The reversal of 13705670 is 7650731.

It is an interprime number because it is at equal distance from previous prime (13705667) and next prime (13705673).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13705673) 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, 56750 + ... + 56990.

It is an arithmetic number, because the mean of its divisors is an integer number (579348).

Almost surely, 2^13705670 is an apocalyptic number.

13705670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13705670 is an abundant number, since it is smaller than the sum of its proper divisors (14103034).

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

13705670 is a wasteful number, since it uses less digits than its factorization.

13705670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 13705670 is about 3702.1169619557. The cubic root of 13705670 is about 239.3132567136.

The spelling of 13705670 in words is "thirteen million, seven hundred five thousand, six hundred seventy".