828164 has 6 divisors (see below), whose sum is σ = 1449294. Its totient is φ = 414080.

The previous prime is 828133. The next prime is 828169. The reversal of 828164 is 461828.

It can be written as a sum of positive squares in only one way, i.e., 828100 + 64 = 910^2 + 8^2 .

It is a super-2 number, since 2×828164² = 1371711221792, which contains 22 as substring.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (828169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 103517 + ... + 103524.

It is an arithmetic number, because the mean of its divisors is an integer number (241549).

2⁸²⁸¹⁶⁴ is an apocalyptic number.

It is an amenable number.

828164 is a deficient number, since it is larger than the sum of its proper divisors (621130).

828164 is a wasteful number, since it uses less digits than its factorization.

828164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207045 (or 207043 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 828164 is about 910.0351641558. The cubic root of 828164 is about 93.9086179974.

It can be divided in two parts, 8281 and 64, that multiplied together give a square (529984 = 728²).

The spelling of 828164 in words is "eight hundred twenty-eight thousand, one hundred sixty-four".