386505153 has 6 divisors (see below), whose sum is σ = 558285234. Its totient is φ = 257670096.

The previous prime is 386505139. The next prime is 386505167. The reversal of 386505153 is 351505683.

It is an interprime number because it is at equal distance from previous prime (386505139) and next prime (386505167).

It can be written as a sum of positive squares in only one way, i.e., 255104784 + 131400369 = 15972^2 + 11463^2 .

It is not a de Polignac number, because 386505153 - 2⁴ = 386505137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (386505193) 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 5 ways as a sum of consecutive naturals, for example, 21472500 + ... + 21472517.

It is an arithmetic number, because the mean of its divisors is an integer number (93047539).

Almost surely, 2^386505153 is an apocalyptic number.

It is an amenable number.

386505153 is a deficient number, since it is larger than the sum of its proper divisors (171780081).

386505153 is a wasteful number, since it uses less digits than its factorization.

386505153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42945023 (or 42945020 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 386505153 is about 19659.7343064447. The cubic root of 386505153 is about 728.4254252004.

The spelling of 386505153 in words is "three hundred eighty-six million, five hundred five thousand, one hundred fifty-three".