54961 has 8 divisors (see below), whose sum is σ = 60264. Its totient is φ = 49920.

The previous prime is 54959. The next prime is 54973. The reversal of 54961 is 16945.

It can be written as a sum of positive squares in 4 ways, for example, as 6561 + 48400 = 81^2 + 220^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 54961 - 2¹ = 54959 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

54961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (54941) 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, 871 + ... + 931.

It is an arithmetic number, because the mean of its divisors is an integer number (7533).

2⁵⁴⁹⁶¹ is an apocalyptic number.

It is an amenable number.

54961 is a deficient number, since it is larger than the sum of its proper divisors (5303).

54961 is a wasteful number, since it uses less digits than its factorization.

54961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131.

The product of its digits is 1080, while the sum is 25.

The square root of 54961 is about 234.4376249666. The cubic root of 54961 is about 38.0205336854.

It can be divided in two parts, 549 and 61, that multiplied together give a square (33489 = 183²).

The spelling of 54961 in words is "fifty-four thousand, nine hundred sixty-one".