66625 has 16 divisors (see below), whose sum is σ = 91728. Its totient is φ = 48000.

The previous prime is 66617. The next prime is 66629. The reversal of 66625 is 52666.

66625 is nontrivially palindromic in base 2 and base 4.

It can be written as a sum of positive squares in 8 ways, for example, as 51984 + 14641 = 228^2 + 121^2 .

It is not a de Polignac number, because 66625 - 2³ = 66617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a plaindrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 66625.

It is not an unprimeable number, because it can be changed into a prime (66629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1605 + ... + 1645.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

2⁶⁶⁶²⁵ is an apocalyptic number.

66625 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66625 is a deficient number, since it is larger than the sum of its proper divisors (25103).

66625 is a wasteful number, since it uses less digits than its factorization.

66625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 59 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 66625 is about 258.1181899828. The cubic root of 66625 is about 40.5395640405.

The spelling of 66625 in words is "sixty-six thousand, six hundred twenty-five".