95016961 has 16 divisors (see below), whose sum is σ = 108960768. Its totient is φ = 82080000.

The previous prime is 95016949. The next prime is 95016973. The reversal of 95016961 is 16961059.

It is an interprime number because it is at equal distance from previous prime (95016949) and next prime (95016973).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-95016961 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 95016961.

It is not an unprimeable number, because it can be changed into a prime (95016941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41086 + ... + 43336.

It is an arithmetic number, because the mean of its divisors is an integer number (6810048).

Almost surely, 2^95016961 is an apocalyptic number.

It is an amenable number.

95016961 is a deficient number, since it is larger than the sum of its proper divisors (13943807).

95016961 is a wasteful number, since it uses less digits than its factorization.

95016961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472.

The product of its (nonzero) digits is 14580, while the sum is 37.

The square root of 95016961 is about 9747.6643869185. The cubic root of 95016961 is about 456.3174167971.

The spelling of 95016961 in words is "ninety-five million, sixteen thousand, nine hundred sixty-one".