149993 has 2 divisors, whose sum is σ = 149994. Its totient is φ = 149992.

The previous prime is 149971. The next prime is 150001. The reversal of 149993 is 399941.

149993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120409 + 29584 = 347^2 + 172^2 .

It is an emirp because it is prime and its reverse (399941) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 149993 - 2¹² = 145897 is a prime.

It is not a weakly prime, because it can be changed into another prime (149953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 74996 + 74997.

It is an arithmetic number, because the mean of its divisors is an integer number (74997).

2¹⁴⁹⁹⁹³ is an apocalyptic number.

It is an amenable number.

149993 is a deficient number, since it is larger than the sum of its proper divisors (1).

149993 is an equidigital number, since it uses as much as digits as its factorization.

149993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8748, while the sum is 35.

The square root of 149993 is about 387.2892975542. The cubic root of 149993 is about 53.1321019341.

It can be divided in two parts, 1 and 49993, that added together give a palindrome (49994).

The spelling of 149993 in words is "one hundred forty-nine thousand, nine hundred ninety-three".