146252993 has 2 divisors, whose sum is σ = 146252994. Its totient is φ = 146252992.

The previous prime is 146252969. The next prime is 146253017. The reversal of 146252993 is 399252641.

It is a balanced prime because it is at equal distance from previous prime (146252969) and next prime (146253017).

It can be written as a sum of positive squares in only one way, i.e., 116035984 + 30217009 = 10772^2 + 5497^2 .

It is a cyclic number.

It is not a de Polignac number, because 146252993 - 2¹⁴ = 146236609 is a prime.

It is a super-2 number, since 2×146252993² = 42779875922916098, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146252993.

It is not a weakly prime, because it can be changed into another prime (146252923) 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 as a sum of consecutive naturals, namely, 73126496 + 73126497.

It is an arithmetic number, because the mean of its divisors is an integer number (73126497).

Almost surely, 2^146252993 is an apocalyptic number.

It is an amenable number.

146252993 is a deficient number, since it is larger than the sum of its proper divisors (1).

146252993 is an equidigital number, since it uses as much as digits as its factorization.

146252993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 116640, while the sum is 41.

The square root of 146252993 is about 12093.5103671349. The cubic root of 146252993 is about 526.8677155742.

The spelling of 146252993 in words is "one hundred forty-six million, two hundred fifty-two thousand, nine hundred ninety-three".