825537 has 8 divisors (see below), whose sum is σ = 1165536. Its totient is φ = 517952.

The previous prime is 825533. The next prime is 825547. The reversal of 825537 is 735528.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 825537 - 2² = 825533 is a prime.

It is a super-2 number, since 2×825537² = 1363022676738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (825533) 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, 8043 + ... + 8144.

It is an arithmetic number, because the mean of its divisors is an integer number (145692).

2⁸²⁵⁵³⁷ is an apocalyptic number.

It is an amenable number.

825537 is a deficient number, since it is larger than the sum of its proper divisors (339999).

825537 is a wasteful number, since it uses less digits than its factorization.

825537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16207.

The product of its digits is 8400, while the sum is 30.

The square root of 825537 is about 908.5906669122. The cubic root of 825537 is about 93.8092176981.

Subtracting from 825537 its reverse (735528), we obtain a palindrome (90009).

The spelling of 825537 in words is "eight hundred twenty-five thousand, five hundred thirty-seven".