13527963 has 12 divisors (see below), whose sum is σ = 19956768. Its totient is φ = 8826480.

The previous prime is 13527959. The next prime is 13527967. The reversal of 13527963 is 36972531.

It is an interprime number because it is at equal distance from previous prime (13527959) and next prime (13527967).

It is not a de Polignac number, because 13527963 - 2² = 13527959 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13527967) 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, 15568 + ... + 16413.

It is an arithmetic number, because the mean of its divisors is an integer number (1663064).

Almost surely, 2^13527963 is an apocalyptic number.

13527963 is a deficient number, since it is larger than the sum of its proper divisors (6428805).

13527963 is a wasteful number, since it uses less digits than its factorization.

13527963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32034 (or 32031 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 13527963 is about 3678.0379280263. The cubic root of 13527963 is about 238.2744462510.

The spelling of 13527963 in words is "thirteen million, five hundred twenty-seven thousand, nine hundred sixty-three".