146724993 has 32 divisors (see below), whose sum is σ = 221719680. Its totient is φ = 95880960.

The previous prime is 146724989. The next prime is 146724997. The reversal of 146724993 is 399427641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (146724989) and next prime (146724997).

It is not a de Polignac number, because 146724993 - 2² = 146724989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146724997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522013 + ... + 522293.

It is an arithmetic number, because the mean of its divisors is an integer number (6928740).

Almost surely, 2^146724993 is an apocalyptic number.

It is an amenable number.

146724993 is a deficient number, since it is larger than the sum of its proper divisors (74994687).

146724993 is a wasteful number, since it uses less digits than its factorization.

146724993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 600 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 146724993 is about 12113.0092462608. The cubic root of 146724993 is about 527.4338909238.

The spelling of 146724993 in words is "one hundred forty-six million, seven hundred twenty-four thousand, nine hundred ninety-three".