8406657 has 12 divisors (see below), whose sum is σ = 13877760. Its totient is φ = 4803768.

The previous prime is 8406649. The next prime is 8406667. The reversal of 8406657 is 7566048.

It is a happy number.

It is not a de Polignac number, because 8406657 - 2³ = 8406649 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8406637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66657 + ... + 66782.

It is an arithmetic number, because the mean of its divisors is an integer number (1156480).

Almost surely, 2^8406657 is an apocalyptic number.

It is an amenable number.

8406657 is a deficient number, since it is larger than the sum of its proper divisors (5471103).

8406657 is a wasteful number, since it uses less digits than its factorization.

8406657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133452 (or 133449 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8406657 is about 2899.4235634001. The cubic root of 8406657 is about 203.3329567911.

The spelling of 8406657 in words is "eight million, four hundred six thousand, six hundred fifty-seven".