86782905 has 48 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 41817600.

The previous prime is 86782879. The next prime is 86782907. The reversal of 86782905 is 50928768.

It is not a de Polignac number, because 86782905 - 2⁵ = 86782873 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86782907) 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, 98065 + ... + 98945.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^86782905 is an apocalyptic number.

It is an amenable number.

86782905 is a deficient number, since it is larger than the sum of its proper divisors (78327495).

86782905 is a wasteful number, since it uses less digits than its factorization.

86782905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 86782905 is about 9315.7342705769. The cubic root of 86782905 is about 442.7358887848.

The spelling of 86782905 in words is "eighty-six million, seven hundred eighty-two thousand, nine hundred five".