825345 has 12 divisors (see below), whose sum is σ = 1430676. Its totient is φ = 440160.

The previous prime is 825343. The next prime is 825347. The reversal of 825345 is 543528.

It is an interprime number because it is at equal distance from previous prime (825343) and next prime (825347).

It can be written as a sum of positive squares in 2 ways, for example, as 178929 + 646416 = 423^2 + 804^2 .

It is not a de Polignac number, because 825345 - 2¹ = 825343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825343) 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, 9126 + ... + 9215.

It is an arithmetic number, because the mean of its divisors is an integer number (119223).

It is a Proth number, since it is equal to 403 ⋅ 2¹¹ + 1 and 403 < 2¹¹.

2⁸²⁵³⁴⁵ is an apocalyptic number.

It is an amenable number.

825345 is a deficient number, since it is larger than the sum of its proper divisors (605331).

825345 is a wasteful number, since it uses less digits than its factorization.

825345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18352 (or 18349 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 825345 is about 908.4850026280. The cubic root of 825345 is about 93.8019445468.

The spelling of 825345 in words is "eight hundred twenty-five thousand, three hundred forty-five".