162825 has 24 divisors (see below), whose sum is σ = 291648. Its totient is φ = 79680.

The previous prime is 162823. The next prime is 162829. The reversal of 162825 is 528261.

It is not a de Polignac number, because 162825 - 2¹ = 162823 is a prime.

162825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 162795 and 162804.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 162825.

It is not an unprimeable number, because it can be changed into a prime (162821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 892 + ... + 1058.

It is an arithmetic number, because the mean of its divisors is an integer number (12152).

2¹⁶²⁸²⁵ is an apocalyptic number.

162825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

162825 is a deficient number, since it is larger than the sum of its proper divisors (128823).

162825 is a wasteful number, since it uses less digits than its factorization.

162825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 188 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 162825 is about 403.5157989472. The cubic root of 162825 is about 54.6059996896.

It can be divided in two parts, 1628 and 25, that added together give a triangular number (1653 = T₅₇).

The spelling of 162825 in words is "one hundred sixty-two thousand, eight hundred twenty-five".