9993555 has 48 divisors (see below), whose sum is σ = 20363616. Its totient is φ = 4469760.

The previous prime is 9993551. The next prime is 9993611. The reversal of 9993555 is 5553999.

9993555 is a `hidden beast` number, since 9 + 9 + 93 + 555 = 666.

It is not a de Polignac number, because 9993555 - 2² = 9993551 is a prime.

It is a super-2 number, since 2×9993555² = 199742283076050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9993555.

It is not an unprimeable number, because it can be changed into a prime (9993551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5659 + ... + 7211.

It is an arithmetic number, because the mean of its divisors is an integer number (424242).

Almost surely, 2^9993555 is an apocalyptic number.

9993555 is an abundant number, since it is smaller than the sum of its proper divisors (10370061).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9993555 is a wasteful number, since it uses less digits than its factorization.

9993555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1585 counting only the distinct ones).

The product of its digits is 273375, while the sum is 45.

The square root of 9993555 is about 3161.2584519460. The cubic root of 9993555 is about 215.3971746176.

It can be divided in two parts, 9993 and 555, that multiplied together give a triangular number (5546115 = T₃₃₃₀).

The spelling of 9993555 in words is "nine million, nine hundred ninety-three thousand, five hundred fifty-five".