47973645 has 24 divisors (see below), whose sum is σ = 85404696. Its totient is φ = 24893568.

The previous prime is 47973617. The next prime is 47973659. The reversal of 47973645 is 54637974.

It can be written as a sum of positive squares in 4 ways, for example, as 6022116 + 41951529 = 2454^2 + 6477^2 .

It is not a de Polignac number, because 47973645 - 2⁷ = 47973517 is a prime.

It is a super-3 number, since 3×47973645³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 47973645.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12742 + ... + 16071.

It is an arithmetic number, because the mean of its divisors is an integer number (3558529).

Almost surely, 2^47973645 is an apocalyptic number.

47973645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47973645 is a deficient number, since it is larger than the sum of its proper divisors (37431051).

47973645 is a wasteful number, since it uses less digits than its factorization.

47973645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28861 (or 28858 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 47973645 is about 6926.3009608304. The cubic root of 47973645 is about 363.3575922042.

The spelling of 47973645 in words is "forty-seven million, nine hundred seventy-three thousand, six hundred forty-five".