12948705 has 96 divisors (see below), whose sum is σ = 29023488. Its totient is φ = 5184000.

The previous prime is 12948673. The next prime is 12948707. The reversal of 12948705 is 50784921.

It is not a de Polignac number, because 12948705 - 2⁵ = 12948673 is a prime.

It is a super-2 number, since 2×12948705² = 335337922354050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12948705.

It is not an unprimeable number, because it can be changed into a prime (12948707) 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 95 ways as a sum of consecutive naturals, for example, 128155 + ... + 128255.

It is an arithmetic number, because the mean of its divisors is an integer number (302328).

Almost surely, 2^12948705 is an apocalyptic number.

12948705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12948705 is an abundant number, since it is smaller than the sum of its proper divisors (16074783).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12948705 is a wasteful number, since it uses less digits than its factorization.

12948705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 12948705 is about 3598.4309080487. The cubic root of 12948705 is about 234.8238003188.

It can be divided in two parts, 1294 and 8705, that added together give a palindrome (9999).

The spelling of 12948705 in words is "twelve million, nine hundred forty-eight thousand, seven hundred five".