145985753 has 2 divisors, whose sum is σ = 145985754. Its totient is φ = 145985752.

The previous prime is 145985729. The next prime is 145985767. The reversal of 145985753 is 357589541.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122589184 + 23396569 = 11072^2 + 4837^2 .

It is an emirp because it is prime and its reverse (357589541) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 145985753 - 2²⁴ = 129208537 is a prime.

It is a super-3 number, since 3×145985753³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145985698 and 145985707.

It is not a weakly prime, because it can be changed into another prime (145985773) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72992876 + 72992877.

It is an arithmetic number, because the mean of its divisors is an integer number (72992877).

Almost surely, 2^145985753 is an apocalyptic number.

It is an amenable number.

145985753 is a deficient number, since it is larger than the sum of its proper divisors (1).

145985753 is an equidigital number, since it uses as much as digits as its factorization.

145985753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756000, while the sum is 47.

The square root of 145985753 is about 12082.4564141568. The cubic root of 145985753 is about 526.5466145119.

The spelling of 145985753 in words is "one hundred forty-five million, nine hundred eighty-five thousand, seven hundred fifty-three".