82993905 has 24 divisors (see below), whose sum is σ = 146008512. Its totient is φ = 43601184.

The previous prime is 82993891. The next prime is 82993927. The reversal of 82993905 is 50939928.

It is not a de Polignac number, because 82993905 - 2⁷ = 82993777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10749 + ... + 16778.

It is an arithmetic number, because the mean of its divisors is an integer number (6083688).

Almost surely, 2^82993905 is an apocalyptic number.

It is an amenable number.

82993905 is a deficient number, since it is larger than the sum of its proper divisors (63014607).

82993905 is a wasteful number, since it uses less digits than its factorization.

82993905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27605 (or 27602 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 82993905 is about 9110.0990664207. The cubic root of 82993905 is about 436.1963894461.

The spelling of 82993905 in words is "eighty-two million, nine hundred ninety-three thousand, nine hundred five".