55845966 has 32 divisors (see below), whose sum is σ = 122386176. Its totient is φ = 16848000.

The previous prime is 55845961. The next prime is 55845971. The reversal of 55845966 is 66954855.

It is an interprime number because it is at equal distance from previous prime (55845961) and next prime (55845971).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55845961) 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 15 ways as a sum of consecutive naturals, for example, 14151 + ... + 17661.

It is an arithmetic number, because the mean of its divisors is an integer number (3824568).

Almost surely, 2^55845966 is an apocalyptic number.

55845966 is an abundant number, since it is smaller than the sum of its proper divisors (66540210).

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

55845966 is a wasteful number, since it uses less digits than its factorization.

55845966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768.

The product of its digits is 1296000, while the sum is 48.

The square root of 55845966 is about 7473.0158570687. The cubic root of 55845966 is about 382.2351329631.

Subtracting 55845966 from its reverse (66954855), we obtain a square (11108889 = 3333²).

The spelling of 55845966 in words is "fifty-five million, eight hundred forty-five thousand, nine hundred sixty-six".