13744731 has 64 divisors (see below), whose sum is σ = 25804800. Its totient is φ = 6272640.

The previous prime is 13744729. The next prime is 13744741.

13744731 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13744731 - 2¹ = 13744729 is a prime.

It is a super-2 number, since 2×13744731² = 377835260524722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13744711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68970 + ... + 69168.

It is an arithmetic number, because the mean of its divisors is an integer number (403200).

Almost surely, 2^13744731 is an apocalyptic number.

13744731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13744731 is a deficient number, since it is larger than the sum of its proper divisors (12060069).

13744731 is a wasteful number, since it uses less digits than its factorization.

13744731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256.

The product of its digits is 7056, while the sum is 30.

The square root of 13744731 is about 3707.3887036565. The cubic root of 13744731 is about 239.5403877420.

It can be divided in two parts, 1374 and 4731, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 13744731 in words is "thirteen million, seven hundred forty-four thousand, seven hundred thirty-one".