13757961 has 16 divisors (see below), whose sum is σ = 21095424. Its totient is φ = 7812624.

The previous prime is 13757959. The next prime is 13757983. The reversal of 13757961 is 16975731.

13757961 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13757961 - 2¹ = 13757959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13757911) 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, 1546 + ... + 5468.

It is an arithmetic number, because the mean of its divisors is an integer number (1318464).

Almost surely, 2^13757961 is an apocalyptic number.

It is an amenable number.

13757961 is a deficient number, since it is larger than the sum of its proper divisors (7337463).

13757961 is a wasteful number, since it uses less digits than its factorization.

13757961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100.

The product of its digits is 39690, while the sum is 39.

The square root of 13757961 is about 3709.1725492352. The cubic root of 13757961 is about 239.6172196825.

The spelling of 13757961 in words is "thirteen million, seven hundred fifty-seven thousand, nine hundred sixty-one".