36145305 has 64 divisors (see below), whose sum is σ = 76677120. Its totient is φ = 15795648.

The previous prime is 36145301. The next prime is 36145309. The reversal of 36145305 is 50354163.

It is an interprime number because it is at equal distance from previous prime (36145301) and next prime (36145309).

It is not a de Polignac number, because 36145305 - 2² = 36145301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (36145301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20904 + ... + 22566.

It is an arithmetic number, because the mean of its divisors is an integer number (1198080).

Almost surely, 2^36145305 is an apocalyptic number.

36145305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36145305 is an abundant number, since it is smaller than the sum of its proper divisors (40531815).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36145305 is a wasteful number, since it uses less digits than its factorization.

36145305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 36145305 is about 6012.0965561109. The cubic root of 36145305 is about 330.6363753244.

Adding to 36145305 its reverse (50354163), we get a palindrome (86499468).

The spelling of 36145305 in words is "thirty-six million, one hundred forty-five thousand, three hundred five".