906166521 has 80 divisors (see below), whose sum is σ = 1557287424. Its totient is φ = 520183296.

The previous prime is 906166501. The next prime is 906166559. The reversal of 906166521 is 125661609.

It is not a de Polignac number, because 906166521 - 2¹⁰ = 906165497 is a prime.

It is a super-2 number, since 2×906166521² = 1642275527562486882, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (906166501) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3991810 + ... + 3992036.

Almost surely, 2^906166521 is an apocalyptic number.

It is an amenable number.

906166521 is a deficient number, since it is larger than the sum of its proper divisors (651120903).

906166521 is a wasteful number, since it uses less digits than its factorization.

906166521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 906166521 is about 30102.5999043272. The cubic root of 906166521 is about 967.6894455056.

The spelling of 906166521 in words is "nine hundred six million, one hundred sixty-six thousand, five hundred twenty-one".