826972 has 12 divisors (see below), whose sum is σ = 1466080. Its totient is φ = 408096.

The previous prime is 826967. The next prime is 826979. The reversal of 826972 is 279628.

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 an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826979) 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 3 ways as a sum of consecutive naturals, for example, 993 + ... + 1624.

2⁸²⁶⁹⁷² is an apocalyptic number.

It is an amenable number.

826972 is a deficient number, since it is larger than the sum of its proper divisors (639108).

826972 is a wasteful number, since it uses less digits than its factorization.

826972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2698 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 826972 is about 909.3800085773. The cubic root of 826972 is about 93.8635412487.

The spelling of 826972 in words is "eight hundred twenty-six thousand, nine hundred seventy-two".