920356561 has 16 divisors (see below), whose sum is σ = 995823360. Its totient is φ = 847739520.

The previous prime is 920356553. The next prime is 920356571. The reversal of 920356561 is 165653029.

It is a cyclic number.

It is not a de Polignac number, because 920356561 - 2³ = 920356553 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 920356561.

It is not an unprimeable number, because it can be changed into a prime (920356511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245080 + ... + 248806.

It is an arithmetic number, because the mean of its divisors is an integer number (62238960).

Almost surely, 2^920356561 is an apocalyptic number.

It is an amenable number.

920356561 is a deficient number, since it is larger than the sum of its proper divisors (75466799).

920356561 is a wasteful number, since it uses less digits than its factorization.

920356561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104.

The product of its (nonzero) digits is 48600, while the sum is 37.

The square root of 920356561 is about 30337.3789408380. The cubic root of 920356561 is about 972.7144575424.

It can be divided in two parts, 92035 and 6561, that added together give a square (98596 = 314²).

The spelling of 920356561 in words is "nine hundred twenty million, three hundred fifty-six thousand, five hundred sixty-one".