8257641 has 16 divisors (see below), whose sum is σ = 12638208. Its totient is φ = 4698000.

The previous prime is 8257637. The next prime is 8257643. The reversal of 8257641 is 1467528.

It is not a de Polignac number, because 8257641 - 2² = 8257637 is a prime.

It is an Ulam number.

8257641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8257643) 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, 4966 + ... + 6416.

It is an arithmetic number, because the mean of its divisors is an integer number (789888).

Almost surely, 2^8257641 is an apocalyptic number.

It is an amenable number.

8257641 is a deficient number, since it is larger than the sum of its proper divisors (4380567).

8257641 is a wasteful number, since it uses less digits than its factorization.

8257641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732.

The product of its digits is 13440, while the sum is 33.

The square root of 8257641 is about 2873.6111427958. The cubic root of 8257641 is about 202.1243638325.

The spelling of 8257641 in words is "eight million, two hundred fifty-seven thousand, six hundred forty-one".