56797 has 8 divisors (see below), whose sum is σ = 65016. Its totient is φ = 49152.

The previous prime is 56783. The next prime is 56807. The reversal of 56797 is 79765.

56797 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 4 ways, for example, as 22201 + 34596 = 149^2 + 186^2 .

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

It is a 7-Lehmer number, since φ(56797) divides (56797-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 56797 - 2¹⁵ = 24029 is a prime.

It is a Duffinian number.

56797 is an undulating number in base 4.

56797 is a lucky number.

56797 is a nontrivial repdigit in base 16.

It is a plaindrome in base 14 and base 16.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56737) 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, 93 + ... + 349.

It is an arithmetic number, because the mean of its divisors is an integer number (8127).

2⁵⁶⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

56797 is a deficient number, since it is larger than the sum of its proper divisors (8219).

56797 is a wasteful number, since it uses less digits than its factorization.

56797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287.

The product of its digits is 13230, while the sum is 34.

The square root of 56797 is about 238.3212118130. The cubic root of 56797 is about 38.4392700840.

The spelling of 56797 in words is "fifty-six thousand, seven hundred ninety-seven".