13735940 has 12 divisors (see below), whose sum is σ = 28845516. Its totient is φ = 5494368.

The previous prime is 13735933. The next prime is 13735951. The reversal of 13735940 is 4953731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2553604 + 11182336 = 1598^2 + 3344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13735897 and 13735906.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 343379 + ... + 343418.

It is an arithmetic number, because the mean of its divisors is an integer number (2403793).

Almost surely, 2^13735940 is an apocalyptic number.

13735940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13735940 is an abundant number, since it is smaller than the sum of its proper divisors (15109576).

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

13735940 is a wasteful number, since it uses less digits than its factorization.

13735940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686806 (or 686804 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 13735940 is about 3706.2029086384. The cubic root of 13735940 is about 239.4893075946.

The spelling of 13735940 in words is "thirteen million, seven hundred thirty-five thousand, nine hundred forty".