95820417 has 72 divisors (see below), whose sum is σ = 179105472. Its totient is φ = 47952000.

The previous prime is 95820407. The next prime is 95820419. The reversal of 95820417 is 71402859.

It is not a de Polignac number, because 95820417 - 2⁷ = 95820289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (95820419) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 948667 + ... + 948767.

It is an arithmetic number, because the mean of its divisors is an integer number (2487576).

Almost surely, 2^95820417 is an apocalyptic number.

It is an amenable number.

95820417 is a deficient number, since it is larger than the sum of its proper divisors (83285055).

95820417 is a wasteful number, since it uses less digits than its factorization.

95820417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 95820417 is about 9788.7903747092. The cubic root of 95820417 is about 457.6000032219.

The spelling of 95820417 in words is "ninety-five million, eight hundred twenty thousand, four hundred seventeen".