54605953 has 8 divisors (see below), whose sum is σ = 56192616. Its totient is φ = 53045200.

The previous prime is 54605939. The next prime is 54605977. The reversal of 54605953 is 35950645.

It can be written as a sum of positive squares in 4 ways, for example, as 38340864 + 16265089 = 6192^2 + 4033^2 .

It is a de Polignac number, because none of the positive numbers 2^k-54605953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54605653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540603 + ... + 540703.

It is an arithmetic number, because the mean of its divisors is an integer number (7024077).

Almost surely, 2^54605953 is an apocalyptic number.

54605953 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

54605953 is a deficient number, since it is larger than the sum of its proper divisors (1586663).

54605953 is an frugal number, since it uses more digits than its factorization.

54605953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 37.

The square root of 54605953 is about 7389.5840884315. The cubic root of 54605953 is about 379.3848611763.

The spelling of 54605953 in words is "fifty-four million, six hundred five thousand, nine hundred fifty-three".