54177949 has 32 divisors (see below), whose sum is σ = 69120000. Its totient is φ = 41399424.

The previous prime is 54177941. The next prime is 54177967. The reversal of 54177949 is 94977145.

It is a 4-Lehmer number, since φ(54177949) divides (54177949-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 54177949 - 2³ = 54177941 is a prime.

It is a deceptive number, since it divides R_54177948.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54177899 and 54177908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54177941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272152 + ... + 272350.

It is an arithmetic number, because the mean of its divisors is an integer number (2160000).

It is a Poulet number, since it divides 2^54177948-1.

Almost surely, 2^54177949 is an apocalyptic number.

It is an amenable number.

54177949 is a deficient number, since it is larger than the sum of its proper divisors (14942051).

54177949 is a wasteful number, since it uses less digits than its factorization.

54177949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337.

The product of its digits is 317520, while the sum is 46.

The square root of 54177949 is about 7360.5671656470. The cubic root of 54177949 is about 378.3910480542.

It can be divided in two parts, 5417 and 7949, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 54177949 in words is "fifty-four million, one hundred seventy-seven thousand, nine hundred forty-nine".