53954 has 8 divisors (see below), whose sum is σ = 82620. Its totient is φ = 26416.

The previous prime is 53951. The next prime is 53959. The reversal of 53954 is 45935.

53954 = 2² + 3² + ... + 54².

It can be written as a sum of positive squares in 2 ways, for example, as 49729 + 4225 = 223^2 + 65^2 .

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

It is a super-2 number, since 2×53954² = 5822068232, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53954.

It is not an unprimeable number, because it can be changed into a prime (53951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149 + ... + 360.

2⁵³⁹⁵⁴ is an apocalyptic number.

53954 is a deficient number, since it is larger than the sum of its proper divisors (28666).

53954 is a wasteful number, since it uses less digits than its factorization.

53954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564.

The product of its digits is 2700, while the sum is 26.

The square root of 53954 is about 232.2800034441. The cubic root of 53954 is about 37.7868957871.

The spelling of 53954 in words is "fifty-three thousand, nine hundred fifty-four".