66957045 has 32 divisors (see below), whose sum is σ = 113356800. Its totient is φ = 33655104.

The previous prime is 66957043. The next prime is 66957049. The reversal of 66957045 is 54075966.

It is not a de Polignac number, because 66957045 - 2¹ = 66957043 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 66956988 and 66957006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66957043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67624 + ... + 68606.

It is an arithmetic number, because the mean of its divisors is an integer number (3542400).

Almost surely, 2^66957045 is an apocalyptic number.

It is an amenable number.

66957045 is a deficient number, since it is larger than the sum of its proper divisors (46399755).

66957045 is a wasteful number, since it uses less digits than its factorization.

66957045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249.

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 66957045 is about 8182.7284569390. The cubic root of 66957045 is about 406.0679935789.

The spelling of 66957045 in words is "sixty-six million, nine hundred fifty-seven thousand, forty-five".