56953 has 6 divisors (see below), whose sum is σ = 61854. Its totient is φ = 52416.

The previous prime is 56951. The next prime is 56957. The reversal of 56953 is 35965.

It is a happy number.

56953 is a nontrivial binomial coefficient, being equal to C(338, 2).

It can be written as a sum of positive squares in 3 ways, for example, as 784 + 56169 = 28^2 + 237^2 .

It is not a de Polignac number, because 56953 - 2¹ = 56951 is a prime.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (56951) 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 5 ways as a sum of consecutive naturals, for example, 1 + ... + 337.

It is an arithmetic number, because the mean of its divisors is an integer number (10309).

2⁵⁶⁹⁵³ is an apocalyptic number.

56953 is the 337-th triangular number and also the 169-th hexagonal number.

56953 is the 113-rd centered nonagonal number.

It is an amenable number.

56953 is a deficient number, since it is larger than the sum of its proper divisors (4901).

56953 is a wasteful number, since it uses less digits than its factorization.

56953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 350 counting only the distinct ones).

The product of its digits is 4050, while the sum is 28.

The square root of 56953 is about 238.6482767589. The cubic root of 56953 is about 38.4744306525.

The spelling of 56953 in words is "fifty-six thousand, nine hundred fifty-three".