993372165 has 24 divisors (see below), whose sum is σ = 1741198680. Its totient is φ = 523843584.

The previous prime is 993372161. The next prime is 993372179. The reversal of 993372165 is 561273399.

It can be written as a sum of positive squares in 4 ways, for example, as 215296929 + 778075236 = 14673^2 + 27894^2 .

It is not a de Polignac number, because 993372165 - 2² = 993372161 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 993372165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993372161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120012 + ... + 128021.

It is an arithmetic number, because the mean of its divisors is an integer number (72549945).

Almost surely, 2^993372165 is an apocalyptic number.

It is an amenable number.

993372165 is a deficient number, since it is larger than the sum of its proper divisors (747826515).

993372165 is a wasteful number, since it uses less digits than its factorization.

993372165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248133 (or 248130 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 993372165 is about 31517.8071096325. The cubic root of 993372165 is about 997.7858227040.

The spelling of 993372165 in words is "nine hundred ninety-three million, three hundred seventy-two thousand, one hundred sixty-five".