12627825 has 48 divisors (see below), whose sum is σ = 24284160. Its totient is φ = 5670720.

The previous prime is 12627809. The next prime is 12627871. The reversal of 12627825 is 52872621.

12627825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

12627825 is a nontrivial binomial coefficient, being equal to C(5026, 2).

It is not a de Polignac number, because 12627825 - 2⁴ = 12627809 is a prime.

It is a super-3 number, since 3×12627825³ (a number of 22 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34996 + ... + 35354.

It is an arithmetic number, because the mean of its divisors is an integer number (505920).

Almost surely, 2^12627825 is an apocalyptic number.

12627825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12627825 is the 5025-th triangular number and also the 2513-rd hexagonal number.

It is an amenable number.

12627825 is a deficient number, since it is larger than the sum of its proper divisors (11656335).

12627825 is a wasteful number, since it uses less digits than its factorization.

12627825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 441 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 12627825 is about 3553.5651112650. The cubic root of 12627825 is about 232.8678418202.

The spelling of 12627825 in words is "twelve million, six hundred twenty-seven thousand, eight hundred twenty-five".