905969661 has 16 divisors (see below), whose sum is σ = 1310214528. Its totient is φ = 554585600.

The previous prime is 905969653. The next prime is 905969671. The reversal of 905969661 is 166969509.

It is a cyclic number.

It is not a de Polignac number, because 905969661 - 2³ = 905969653 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905969641) 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, 214545 + ... + 218726.

It is an arithmetic number, because the mean of its divisors is an integer number (81888408).

Almost surely, 2^905969661 is an apocalyptic number.

It is an amenable number.

905969661 is a deficient number, since it is larger than the sum of its proper divisors (404244867).

905969661 is a wasteful number, since it uses less digits than its factorization.

905969661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433332.

The product of its (nonzero) digits is 787320, while the sum is 51.

The square root of 905969661 is about 30099.3299094847. The cubic root of 905969661 is about 967.6193652512.

The spelling of 905969661 in words is "nine hundred five million, nine hundred sixty-nine thousand, six hundred sixty-one".