993561 has 8 divisors (see below), whose sum is σ = 1360704. Its totient is φ = 644400.

The previous prime is 993557. The next prime is 993589. The reversal of 993561 is 165399.

993561 = T₂₁₃ + T₂₁₄ + ... + T₂₄₉.

993561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 993561 - 2² = 993557 is a prime.

It is a Curzon number.

993561 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 993561.

It is not an unprimeable number, because it can be changed into a prime (993541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4365 + ... + 4586.

It is an arithmetic number, because the mean of its divisors is an integer number (170088).

2⁹⁹³⁵⁶¹ is an apocalyptic number.

It is an amenable number.

993561 is a deficient number, since it is larger than the sum of its proper divisors (367143).

993561 is a wasteful number, since it uses less digits than its factorization.

993561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8991.

The product of its digits is 7290, while the sum is 33.

The square root of 993561 is about 996.7753006571. The cubic root of 993561 is about 99.7849043369.

The spelling of 993561 in words is "nine hundred ninety-three thousand, five hundred sixty-one".