146993 has 16 divisors (see below), whose sum is σ = 193536. Its totient is φ = 108240.

The previous prime is 146989. The next prime is 147011. The reversal of 146993 is 399641.

146993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146993 - 2² = 146989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146933) 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, 1730 + ... + 1812.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2¹⁴⁶⁹⁹³ is an apocalyptic number.

It is an amenable number.

146993 is a deficient number, since it is larger than the sum of its proper divisors (46543).

146993 is a wasteful number, since it uses less digits than its factorization.

146993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124.

The product of its digits is 5832, while the sum is 32.

The square root of 146993 is about 383.3966614356. The cubic root of 146993 is about 52.7754831464.

It can be divided in two parts, 14 and 6993, that added together give a palindrome (7007).

The spelling of 146993 in words is "one hundred forty-six thousand, nine hundred ninety-three".