993643 has 16 divisors (see below), whose sum is σ = 1239040. Its totient is φ = 777600.

The previous prime is 993617. The next prime is 993647. The reversal of 993643 is 346399.

It is a cyclic number.

It is not a de Polignac number, because 993643 - 2⁵ = 993611 is a prime.

It is a super-2 number, since 2×993643² = 1974652822898, which contains 22 as substring.

It is a Duffinian number.

993643 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 993599 and 993608.

It is not an unprimeable number, because it can be changed into a prime (993647) 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, 4003 + ... + 4243.

It is an arithmetic number, because the mean of its divisors is an integer number (77440).

2⁹⁹³⁶⁴³ is an apocalyptic number.

993643 is a deficient number, since it is larger than the sum of its proper divisors (245397).

993643 is a wasteful number, since it uses less digits than its factorization.

993643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298.

The product of its digits is 17496, while the sum is 34.

The square root of 993643 is about 996.8164324488. The cubic root of 993643 is about 99.7876493914.

The spelling of 993643 in words is "nine hundred ninety-three thousand, six hundred forty-three".