66129417 has 24 divisors (see below), whose sum is σ = 99011328. Its totient is φ = 42487200.

The previous prime is 66129407. The next prime is 66129419. The reversal of 66129417 is 71492166.

It is not a de Polignac number, because 66129417 - 2⁷ = 66129289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66129419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117178 + ... + 117740.

It is an arithmetic number, because the mean of its divisors is an integer number (4125472).

Almost surely, 2^66129417 is an apocalyptic number.

It is an amenable number.

66129417 is a deficient number, since it is larger than the sum of its proper divisors (32881911).

66129417 is a wasteful number, since it uses less digits than its factorization.

66129417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1018 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 66129417 is about 8131.9995696016. Note that the first 3 decimals coincide. The cubic root of 66129417 is about 404.3879736200.

The spelling of 66129417 in words is "sixty-six million, one hundred twenty-nine thousand, four hundred seventeen".