816597 has 12 divisors (see below), whose sum is σ = 1208844. Its totient is φ = 530880.

The previous prime is 816593. The next prime is 816649. The reversal of 816597 is 795618.

It can be written as a sum of positive squares in 2 ways, for example, as 463761 + 352836 = 681^2 + 594^2 .

It is not a de Polignac number, because 816597 - 2² = 816593 is a prime.

816597 is a lucky number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816593) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 738 + ... + 1475.

It is an arithmetic number, because the mean of its divisors is an integer number (100737).

2⁸¹⁶⁵⁹⁷ is an apocalyptic number.

816597 is the 738-th pentagonal number.

It is an amenable number.

816597 is a deficient number, since it is larger than the sum of its proper divisors (392247).

816597 is a wasteful number, since it uses less digits than its factorization.

816597 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2257 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 816597 is about 903.6575678873. The cubic root of 816597 is about 93.4693580661.

The spelling of 816597 in words is "eight hundred sixteen thousand, five hundred ninety-seven".