6657625 has 32 divisors (see below), whose sum is σ = 9513504. Its totient is φ = 4608000.

The previous prime is 6657613. The next prime is 6657631. The reversal of 6657625 is 5267566.

6657625 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 16 ways, for example, as 4173849 + 2483776 = 2043^2 + 1576^2 .

It is not a de Polignac number, because 6657625 - 2⁵ = 6657593 is a prime.

6657625 is an undulating number in base 8.

6657625 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27505 + ... + 27745.

It is an arithmetic number, because the mean of its divisors is an integer number (297297).

Almost surely, 2^6657625 is an apocalyptic number.

6657625 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6657625 is a deficient number, since it is larger than the sum of its proper divisors (2855879).

6657625 is a wasteful number, since it uses less digits than its factorization.

6657625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its digits is 75600, while the sum is 37.

The square root of 6657625 is about 2580.2373921793. The cubic root of 6657625 is about 188.1220819406.

It can be divided in two parts, 66576 and 25, that multiplied together give a triangular number (1664400 = T₁₈₂₄).

The spelling of 6657625 in words is "six million, six hundred fifty-seven thousand, six hundred twenty-five".