82088993 has 16 divisors (see below), whose sum is σ = 95616000. Its totient is φ = 69022800.

The previous prime is 82088969. The next prime is 82088999. The reversal of 82088993 is 39988028.

It is a happy number.

It is not a de Polignac number, because 82088993 - 2²² = 77894689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82088999) 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, 164258 + ... + 164756.

It is an arithmetic number, because the mean of its divisors is an integer number (5976000).

Almost surely, 2^82088993 is an apocalyptic number.

It is an amenable number.

82088993 is a deficient number, since it is larger than the sum of its proper divisors (13527007).

82088993 is a wasteful number, since it uses less digits than its factorization.

82088993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908.

The product of its (nonzero) digits is 248832, while the sum is 47.

The square root of 82088993 is about 9060.2976220431. The cubic root of 82088993 is about 434.6052577876.

The spelling of 82088993 in words is "eighty-two million, eighty-eight thousand, nine hundred ninety-three".