993345 has 16 divisors (see below), whose sum is σ = 1624320. Its totient is φ = 518144.

The previous prime is 993341. The next prime is 993367. The reversal of 993345 is 543399.

993345 is a nontrivial binomial coefficient, being equal to C(1410, 2).

It is a cyclic number.

It is not a de Polignac number, because 993345 - 2² = 993341 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (993341) 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, 1 + ... + 1409.

It is an arithmetic number, because the mean of its divisors is an integer number (101520).

2⁹⁹³³⁴⁵ is an apocalyptic number.

993345 is the 1409-th triangular number and also the 705-th hexagonal number.

It is an amenable number.

993345 is a deficient number, since it is larger than the sum of its proper divisors (630975).

993345 is a wasteful number, since it uses less digits than its factorization.

993345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464.

The product of its digits is 14580, while the sum is 33.

The square root of 993345 is about 996.6669453734. Note that the first 3 decimals coincide. The cubic root of 993345 is about 99.7776727389. Note that the first 3 decimals are identical.

It can be divided in two parts, 9933 and 45, that multiplied together give a triangular number (446985 = T₉₄₅).

The spelling of 993345 in words is "nine hundred ninety-three thousand, three hundred forty-five".