21725627 has 16 divisors (see below), whose sum is σ = 27209472. Its totient is φ = 16852320.

The previous prime is 21725617. The next prime is 21725633. The reversal of 21725627 is 72652712.

It is a cyclic number.

It is not a de Polignac number, because 21725627 - 2²⁰ = 20677051 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21725593 and 21725602.

It is not an unprimeable number, because it can be changed into a prime (21725617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21293 + ... + 22289.

It is an arithmetic number, because the mean of its divisors is an integer number (1700592).

Almost surely, 2^21725627 is an apocalyptic number.

21725627 is a deficient number, since it is larger than the sum of its proper divisors (5483845).

21725627 is a wasteful number, since it uses less digits than its factorization.

21725627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298.

The product of its digits is 11760, while the sum is 32.

The square root of 21725627 is about 4661.0757342056. The cubic root of 21725627 is about 279.0342022877.

The spelling of 21725627 in words is "twenty-one million, seven hundred twenty-five thousand, six hundred twenty-seven".