54947585 has 48 divisors (see below), whose sum is σ = 85663872. Its totient is φ = 32851200.

The previous prime is 54947573. The next prime is 54947609. The reversal of 54947585 is 58574945.

54947585 = 2230² + 2231² + ... + 2240².

It is a happy number.

It is not a de Polignac number, because 54947585 - 2⁴ = 54947569 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931286 + ... + 931344.

It is an arithmetic number, because the mean of its divisors is an integer number (1784664).

Almost surely, 2^54947585 is an apocalyptic number.

54947585 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54947585 is a deficient number, since it is larger than the sum of its proper divisors (30716287).

54947585 is a wasteful number, since it uses less digits than its factorization.

54947585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 123 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 47.

The square root of 54947585 is about 7412.6638261829. The cubic root of 54947585 is about 380.1744005562.

The spelling of 54947585 in words is "fifty-four million, nine hundred forty-seven thousand, five hundred eighty-five".