897 has 8 divisors (see below), whose sum is σ = 1344. Its totient is φ = 528.

The previous prime is 887. The next prime is 907. The reversal of 897 is 798.

It is an interprime number because it is at equal distance from previous prime (887) and next prime (907).

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

It is a Cullen number, since it is equal to 7×2^{7}+1.

It is not a de Polignac number, because 897 - 2^{4} = 881 is a prime.

897 is a lucky number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (827) 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, 28 + ... + 50.

It is an arithmetic number, because the mean of its divisors is an integer number (168).

It is a Proth number, since it is equal to 7 ⋅ 2^{7} + 1 and 7 < 2^{7}.

It is an amenable number.

897 is a deficient number, since it is larger than the sum of its proper divisors (447).

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

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

The sum of its prime factors is 39.

The product of its digits is 504, while the sum is 24.

The square root of 897 is about 29.9499582637. The cubic root of 897 is about 9.6441542445.

Multiplying 897 by its sum of digits (24), we get a triangular number (21528 = T_{207}).

Subtracting from 897 its product of digits (504), we obtain a palindrome (393).

Subtracting from 897 its reverse (798), we obtain a palindrome (99).

Multiplying 897 by its reverse (798), we get a triangular number (715806 = T_{1196}).

It can be divided in two parts, 8 and 97, that added together give a triangular number (105 = T_{14}).

The spelling of 897 in words is "eight hundred ninety-seven", and thus it is an aban number and an oban number.

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