829825 has 12 divisors (see below), whose sum is σ = 1083760. Its totient is φ = 628560.

The previous prime is 829819. The next prime is 829831. The reversal of 829825 is 528928.

829825 = T₂₈₆ + T₂₈₇ + ... + T₃₀₄.

It is an interprime number because it is at equal distance from previous prime (829819) and next prime (829831).

It is not a de Polignac number, because 829825 - 2¹⁵ = 797057 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399 + ... + 1348.

2⁸²⁹⁸²⁵ is an apocalyptic number.

It is an amenable number.

829825 is a deficient number, since it is larger than the sum of its proper divisors (253935).

829825 is a wasteful number, since it uses less digits than its factorization.

829825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1771 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 829825 is about 910.9473091239. The cubic root of 829825 is about 93.9713584083.

The spelling of 829825 in words is "eight hundred twenty-nine thousand, eight hundred twenty-five".