13530657 has 32 divisors (see below), whose sum is σ = 22063104. Its totient is φ = 7200000.

The previous prime is 13530653. The next prime is 13530659. The reversal of 13530657 is 75603531.

13530657 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 13530657 - 2² = 13530653 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13530653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53782 + ... + 54032.

It is an arithmetic number, because the mean of its divisors is an integer number (689472).

Almost surely, 2^13530657 is an apocalyptic number.

13530657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13530657 is a deficient number, since it is larger than the sum of its proper divisors (8532447).

13530657 is a wasteful number, since it uses less digits than its factorization.

13530657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429.

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 13530657 is about 3678.4041376662. The cubic root of 13530657 is about 238.2902621022.

The spelling of 13530657 in words is "thirteen million, five hundred thirty thousand, six hundred fifty-seven".