993114 has 32 divisors (see below), whose sum is σ = 2255040. Its totient is φ = 323856.

The previous prime is 993107. The next prime is 993121. The reversal of 993114 is 411399.

It is an interprime number because it is at equal distance from previous prime (993107) and next prime (993121).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 993114.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2689 + ... + 3035.

It is an arithmetic number, because the mean of its divisors is an integer number (70470).

2⁹⁹³¹¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127520).

993114 is an abundant number, since it is smaller than the sum of its proper divisors (1261926).

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

993114 is a wasteful number, since it uses less digits than its factorization.

993114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 993114 is about 996.5510523802. The cubic root of 993114 is about 99.7699377863.

The spelling of 993114 in words is "nine hundred ninety-three thousand, one hundred fourteen".