13725963 has 36 divisors (see below), whose sum is σ = 21965160. Its totient is φ = 8470440.

The previous prime is 13725941. The next prime is 13725977. The reversal of 13725963 is 36952731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 13725963 - 2⁵ = 13725931 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13725913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 442758 + ... + 442788.

Almost surely, 2^13725963 is an apocalyptic number.

13725963 is a deficient number, since it is larger than the sum of its proper divisors (8239197).

13725963 is an equidigital number, since it uses as much as digits as its factorization.

13725963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 57 counting only the distinct ones).

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

The square root of 13725963 is about 3704.8566773898. The cubic root of 13725963 is about 239.4313097786.

The spelling of 13725963 in words is "thirteen million, seven hundred twenty-five thousand, nine hundred sixty-three".