820948 has 6 divisors (see below), whose sum is σ = 1436666. Its totient is φ = 410472.

The previous prime is 820927. The next prime is 820957. The reversal of 820948 is 849028.

It can be written as a sum of positive squares in only one way, i.e., 659344 + 161604 = 812^2 + 402^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

820948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102615 + ... + 102622.

2⁸²⁰⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

820948 is a deficient number, since it is larger than the sum of its proper divisors (615718).

820948 is a wasteful number, since it uses less digits than its factorization.

820948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205241 (or 205239 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 820948 is about 906.0618080462. The cubic root of 820948 is about 93.6350722050.

The spelling of 820948 in words is "eight hundred twenty thousand, nine hundred forty-eight".