82373193 has 40 divisors (see below), whose sum is σ = 141831360. Its totient is φ = 46668960.

The previous prime is 82373147. The next prime is 82373197. The reversal of 82373193 is 39137328.

It is a happy number.

It is not a de Polignac number, because 82373193 - 2⁶ = 82373129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82373197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73723 + ... + 74831.

It is an arithmetic number, because the mean of its divisors is an integer number (3545784).

Almost surely, 2^82373193 is an apocalyptic number.

It is an amenable number.

82373193 is a deficient number, since it is larger than the sum of its proper divisors (59458167).

82373193 is a wasteful number, since it uses less digits than its factorization.

82373193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1250 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 82373193 is about 9075.9678822702. The cubic root of 82373193 is about 435.1062285155.

The spelling of 82373193 in words is "eighty-two million, three hundred seventy-three thousand, one hundred ninety-three".