36305970 has 48 divisors (see below), whose sum is σ = 90305280. Its totient is φ = 9341248.

The previous prime is 36305963. The next prime is 36305977. The reversal of 36305970 is 7950363.

36305970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36305963) and next prime (36305977).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (36305977) 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 23 ways as a sum of consecutive naturals, for example, 24511 + ... + 25949.

It is an arithmetic number, because the mean of its divisors is an integer number (1881360).

Almost surely, 2^36305970 is an apocalyptic number.

36305970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36305970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45152640).

36305970 is an abundant number, since it is smaller than the sum of its proper divisors (53999310).

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

36305970 is a wasteful number, since it uses less digits than its factorization.

36305970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 36305970 is about 6025.4435521379. The cubic root of 36305970 is about 331.1255414721.

The spelling of 36305970 in words is "thirty-six million, three hundred five thousand, nine hundred seventy".