54577842 has 64 divisors (see below), whose sum is σ = 127319040. Its totient is φ = 15422400.

The previous prime is 54577841. The next prime is 54577843. The reversal of 54577842 is 24877545.

It is an interprime number because it is at equal distance from previous prime (54577841) and next prime (54577843).

It is a junction number, because it is equal to n+sod(n) for n = 54577794 and 54577803.

It is not an unprimeable number, because it can be changed into a prime (54577841) 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 31 ways as a sum of consecutive naturals, for example, 88728 + ... + 89340.

It is an arithmetic number, because the mean of its divisors is an integer number (1989360).

Almost surely, 2^54577842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54577842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63659520).

54577842 is an abundant number, since it is smaller than the sum of its proper divisors (72741198).

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

54577842 is a wasteful number, since it uses less digits than its factorization.

54577842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719.

The product of its digits is 313600, while the sum is 42.

The square root of 54577842 is about 7387.6817744134. The cubic root of 54577842 is about 379.3197478944.

It can be divided in two parts, 545 and 77842, that added together give a palindrome (78387).

The spelling of 54577842 in words is "fifty-four million, five hundred seventy-seven thousand, eight hundred forty-two".