13738401 has 12 divisors (see below), whose sum is σ = 20050212. Its totient is φ = 9063936.

The previous prime is 13738399. The next prime is 13738411. The reversal of 13738401 is 10483731.

It can be written as a sum of positive squares in 2 ways, for example, as 9734400 + 4004001 = 3120^2 + 2001^2 .

It is not a de Polignac number, because 13738401 - 2¹ = 13738399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13738411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6996 + ... + 8741.

It is an arithmetic number, because the mean of its divisors is an integer number (1670851).

Almost surely, 2^13738401 is an apocalyptic number.

It is an amenable number.

13738401 is a deficient number, since it is larger than the sum of its proper divisors (6311811).

13738401 is a wasteful number, since it uses less digits than its factorization.

13738401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15840 (or 15837 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13738401 is about 3706.5349047325. The cubic root of 13738401 is about 239.5036094429.

The spelling of 13738401 in words is "thirteen million, seven hundred thirty-eight thousand, four hundred one".