66957345 has 96 divisors (see below), whose sum is σ = 145297152. Its totient is φ = 27772416.

The previous prime is 66957343. The next prime is 66957431. The reversal of 66957345 is 54375966.

It is not a de Polignac number, because 66957345 - 2¹ = 66957343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 66957345.

It is not an unprimeable number, because it can be changed into a prime (66957343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339787 + ... + 339983.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 2^66957345 is an apocalyptic number.

66957345 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66957345 is an abundant number, since it is smaller than the sum of its proper divisors (78339807).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66957345 is a wasteful number, since it uses less digits than its factorization.

66957345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 308 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 66957345 is about 8182.7467882124. The cubic root of 66957345 is about 406.0686000384.

The spelling of 66957345 in words is "sixty-six million, nine hundred fifty-seven thousand, three hundred forty-five".