823537 has 12 divisors (see below), whose sum is σ = 975024. Its totient is φ = 689520.

The previous prime is 823519. The next prime is 823541. The reversal of 823537 is 735328.

It is not a de Polignac number, because 823537 - 2¹¹ = 821489 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (823547) 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, 1638 + ... + 2080.

It is an arithmetic number, because the mean of its divisors is an integer number (81252).

823537 is a Friedman number, since it can be written as (5*3-8)^7-3*2, using all its digits and the basic arithmetic operations.

2⁸²³⁵³⁷ is an apocalyptic number.

It is an amenable number.

823537 is a deficient number, since it is larger than the sum of its proper divisors (151487).

823537 is a wasteful number, since it uses less digits than its factorization.

823537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 823537 is about 907.4893938774. The cubic root of 823537 is about 93.7334003202.

Subtracting from 823537 its reverse (735328), we obtain a square (88209 = 297²).

The spelling of 823537 in words is "eight hundred twenty-three thousand, five hundred thirty-seven".