83466945 has 24 divisors (see below), whose sum is σ = 144893736. Its totient is φ = 44448768.

The previous prime is 83466941. The next prime is 83466949. The reversal of 83466945 is 54966438.

It is an interprime number because it is at equal distance from previous prime (83466941) and next prime (83466949).

It can be written as a sum of positive squares in 4 ways, for example, as 55175184 + 28291761 = 7428^2 + 5319^2 .

It is not a de Polignac number, because 83466945 - 2² = 83466941 is a prime.

It is a super-3 number, since 3×83466945³ (a number of 25 digits) contains 333 as substring.

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 83466945.

It is not an unprimeable number, because it can be changed into a prime (83466941) 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, 48337 + ... + 50033.

It is an arithmetic number, because the mean of its divisors is an integer number (6037239).

Almost surely, 2^83466945 is an apocalyptic number.

It is an amenable number.

83466945 is a deficient number, since it is larger than the sum of its proper divisors (61426791).

83466945 is a wasteful number, since it uses less digits than its factorization.

83466945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2798 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 83466945 is about 9136.0245730843. The cubic root of 83466945 is about 437.0235488011.

The spelling of 83466945 in words is "eighty-three million, four hundred sixty-six thousand, nine hundred forty-five".