86946905 has 16 divisors (see below), whose sum is σ = 106311744. Its totient is φ = 68249280.

The previous prime is 86946887. The next prime is 86946953. The reversal of 86946905 is 50964968.

It is not a de Polignac number, because 86946905 - 2⁶ = 86946841 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 86946905.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154154 + ... + 154716.

It is an arithmetic number, because the mean of its divisors is an integer number (6644484).

Almost surely, 2^86946905 is an apocalyptic number.

It is an amenable number.

86946905 is a deficient number, since it is larger than the sum of its proper divisors (19364839).

86946905 is a wasteful number, since it uses less digits than its factorization.

86946905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096.

The product of its (nonzero) digits is 466560, while the sum is 47.

The square root of 86946905 is about 9324.5324279558. The cubic root of 86946905 is about 443.0146034147.

It can be divided in two parts, 869 and 46905, that added together give a palindrome (47774).

The spelling of 86946905 in words is "eighty-six million, nine hundred forty-six thousand, nine hundred five".