66945125 has 24 divisors (see below), whose sum is σ = 90497160. Its totient is φ = 49420800.

The previous prime is 66945107. The next prime is 66945163. The reversal of 66945125 is 52154966.

It is a Cunningham number, because it is equal to 8182²+1.

It can be written as a sum of positive squares in 12 ways, for example, as 58644964 + 8300161 = 7658^2 + 2881^2 .

It is a de Polignac number, because none of the positive numbers 2^k-66945125 is a prime.

It is a super-2 number, since 2×66945125² = 8963299522531250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19541 + ... + 22709.

It is an arithmetic number, because the mean of its divisors is an integer number (3770715).

Almost surely, 2^66945125 is an apocalyptic number.

66945125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66945125 is a deficient number, since it is larger than the sum of its proper divisors (23552035).

66945125 is a wasteful number, since it uses less digits than its factorization.

66945125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3187 counting only the distinct ones).

The product of its digits is 64800, while the sum is 38.

The square root of 66945125 is about 8182.0000611098. Note that the first 4 decimals coincide. The cubic root of 66945125 is about 406.0438954538.

The spelling of 66945125 in words is "sixty-six million, nine hundred forty-five thousand, one hundred twenty-five".