86948961 has 16 divisors (see below), whose sum is σ = 127178688. Its totient is φ = 52401600.

The previous prime is 86948951. The next prime is 86948963. The reversal of 86948961 is 16984968.

It is a happy number.

It is not a de Polignac number, because 86948961 - 2⁵ = 86948929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86948963) 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, 1306 + ... + 13251.

It is an arithmetic number, because the mean of its divisors is an integer number (7948668).

Almost surely, 2^86948961 is an apocalyptic number.

It is an amenable number.

86948961 is a deficient number, since it is larger than the sum of its proper divisors (40229727).

86948961 is a wasteful number, since it uses less digits than its factorization.

86948961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14752.

The product of its digits is 746496, while the sum is 51.

The square root of 86948961 is about 9324.6426741189. The cubic root of 86948961 is about 443.0180953191.

The spelling of 86948961 in words is "eighty-six million, nine hundred forty-eight thousand, nine hundred sixty-one".