55905135 has 64 divisors (see below), whose sum is σ = 106928640. Its totient is φ = 24583680.

The previous prime is 55905133. The next prime is 55905139. The reversal of 55905135 is 53150955.

It is not a de Polignac number, because 55905135 - 2¹ = 55905133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 55905096 and 55905105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55905131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143521 + ... + 143909.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^55905135 is an apocalyptic number.

55905135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55905135 is a deficient number, since it is larger than the sum of its proper divisors (51023505).

55905135 is a wasteful number, since it uses less digits than its factorization.

55905135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488.

The product of its (nonzero) digits is 16875, while the sum is 33.

The square root of 55905135 is about 7476.9736524880. The cubic root of 55905135 is about 382.3700784777.

The spelling of 55905135 in words is "fifty-five million, nine hundred five thousand, one hundred thirty-five".