828149 has 6 divisors (see below), whose sum is σ = 963414. Its totient is φ = 709800.

The previous prime is 828133. The next prime is 828169. The reversal of 828149 is 941828.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 828100 + 49 = 910^2 + 7^2 .

It is not a de Polignac number, because 828149 - 2⁴ = 828133 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8402 + ... + 8499.

It is an arithmetic number, because the mean of its divisors is an integer number (160569).

2⁸²⁸¹⁴⁹ is an apocalyptic number.

It is an amenable number.

828149 is a deficient number, since it is larger than the sum of its proper divisors (135265).

828149 is a wasteful number, since it uses less digits than its factorization.

828149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16915 (or 16908 counting only the distinct ones).

The product of its digits is 4608, while the sum is 32.

The square root of 828149 is about 910.0269226787. The cubic root of 828149 is about 93.9080510252.

It can be divided in two parts, 8281 and 49, that multiplied together give a square (405769 = 637²).

The spelling of 828149 in words is "eight hundred twenty-eight thousand, one hundred forty-nine".