83177073 has 48 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 43504128.

The previous prime is 83177071. The next prime is 83177077. The reversal of 83177073 is 37077138.

It is a happy number.

It is not a de Polignac number, because 83177073 - 2¹ = 83177071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83177071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38578 + ... + 40676.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2^83177073 is an apocalyptic number.

It is an amenable number.

83177073 is a deficient number, since it is larger than the sum of its proper divisors (66208527).

83177073 is a wasteful number, since it uses less digits than its factorization.

83177073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 83177073 is about 9120.1465448753. The cubic root of 83177073 is about 436.5170495972.

The spelling of 83177073 in words is "eighty-three million, one hundred seventy-seven thousand, seventy-three".