47952585 has 48 divisors (see below), whose sum is σ = 87744384. Its totient is φ = 24178176.

The previous prime is 47952559. The next prime is 47952589. The reversal of 47952585 is 58525974.

47952585 is a `hidden beast` number, since 47 + 9 + 525 + 85 = 666.

It is not a de Polignac number, because 47952585 - 2²⁴ = 31175369 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 47952585.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47952589) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110529 + ... + 110961.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008).

Almost surely, 2^47952585 is an apocalyptic number.

47952585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47952585 is a deficient number, since it is larger than the sum of its proper divisors (39791799).

47952585 is a wasteful number, since it uses less digits than its factorization.

47952585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 571 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 47952585 is about 6924.7805019365. The cubic root of 47952585 is about 363.3044141802.

The spelling of 47952585 in words is "forty-seven million, nine hundred fifty-two thousand, five hundred eighty-five".