55677657 has 32 divisors (see below), whose sum is σ = 91238400. Its totient is φ = 29490048.

The previous prime is 55677617. The next prime is 55677673. The reversal of 55677657 is 75677655.

55677657 = T₃₅₁₃ + T₃₅₁₄ + ... + T₃₅₂₁.

55677657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55677657 - 2⁷ = 55677529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55677617) 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 31 ways as a sum of consecutive naturals, for example, 17269 + ... + 20237.

It is an arithmetic number, because the mean of its divisors is an integer number (2851200).

Almost surely, 2^55677657 is an apocalyptic number.

55677657 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

55677657 is a deficient number, since it is larger than the sum of its proper divisors (35560743).

55677657 is a wasteful number, since it uses less digits than its factorization.

55677657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045.

The product of its digits is 1543500, while the sum is 48.

The square root of 55677657 is about 7461.7462433401. The cubic root of 55677657 is about 381.8507521638.

The spelling of 55677657 in words is "fifty-five million, six hundred seventy-seven thousand, six hundred fifty-seven".