8157601 has 8 divisors (see below), whose sum is σ = 8375400. Its totient is φ = 7942272.

The previous prime is 8157599. The next prime is 8157629. The reversal of 8157601 is 1067518.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2512225 + 5645376 = 1585^2 + 2376^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8157601 - 2¹ = 8157599 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 8157601.

It is not an unprimeable number, because it can be changed into a prime (8157641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7381 + ... + 8413.

It is an arithmetic number, because the mean of its divisors is an integer number (1046925).

Almost surely, 2^8157601 is an apocalyptic number.

It is an amenable number.

8157601 is a deficient number, since it is larger than the sum of its proper divisors (217799).

8157601 is a wasteful number, since it uses less digits than its factorization.

8157601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235.

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 8157601 is about 2856.1514315596. The cubic root of 8157601 is about 201.3048105021.

It can be divided in two parts, 8 and 157601, that added together give a square (157609 = 397²).

The spelling of 8157601 in words is "eight million, one hundred fifty-seven thousand, six hundred one".