825137 has 8 divisors (see below), whose sum is σ = 877800. Its totient is φ = 774144.

The previous prime is 825131. The next prime is 825161. The reversal of 825137 is 731528.

825137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 579121 = 496^2 + 761^2 .

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 825137 - 2⁶ = 825073 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825131) 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, 689 + ... + 1457.

It is an arithmetic number, because the mean of its divisors is an integer number (109725).

2⁸²⁵¹³⁷ is an apocalyptic number.

It is an amenable number.

825137 is a deficient number, since it is larger than the sum of its proper divisors (52663).

825137 is a wasteful number, since it uses less digits than its factorization.

825137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835.

The product of its digits is 1680, while the sum is 26.

The square root of 825137 is about 908.3705191165. The cubic root of 825137 is about 93.7940640267.

The spelling of 825137 in words is "eight hundred twenty-five thousand, one hundred thirty-seven".