82077593 has 16 divisors (see below), whose sum is σ = 92660736. Its totient is φ = 72135360.

The previous prime is 82077577. The next prime is 82077599. The reversal of 82077593 is 39577028.

It is not a de Polignac number, because 82077593 - 2⁴ = 82077577 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82077593.

It is not an unprimeable number, because it can be changed into a prime (82077599) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82328 + ... + 83318.

It is an arithmetic number, because the mean of its divisors is an integer number (5791296).

Almost surely, 2^82077593 is an apocalyptic number.

It is an amenable number.

82077593 is a deficient number, since it is larger than the sum of its proper divisors (10583143).

82077593 is a wasteful number, since it uses less digits than its factorization.

82077593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304.

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 82077593 is about 9059.6684817934. The cubic root of 82077593 is about 434.5851384467.

The spelling of 82077593 in words is "eighty-two million, seventy-seven thousand, five hundred ninety-three".