823137 has 16 divisors (see below), whose sum is σ = 1320960. Its totient is φ = 445392.

The previous prime is 823129. The next prime is 823153. The reversal of 823137 is 731328.

823137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 823137 - 2³ = 823129 is a prime.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (823117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633 + ... + 1430.

It is an arithmetic number, because the mean of its divisors is an integer number (82560).

2⁸²³¹³⁷ is an apocalyptic number.

It is an amenable number.

823137 is a deficient number, since it is larger than the sum of its proper divisors (497823).

823137 is a wasteful number, since it uses less digits than its factorization.

823137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092.

The product of its digits is 1008, while the sum is 24.

The square root of 823137 is about 907.2689788591. The cubic root of 823137 is about 93.7182221185.

Subtracting from 823137 its reverse (731328), we obtain a square (91809 = 303²).

The spelling of 823137 in words is "eight hundred twenty-three thousand, one hundred thirty-seven".