817972 has 24 divisors (see below), whose sum is σ = 1584576. Its totient is φ = 367488.

The previous prime is 817951. The next prime is 817979. The reversal of 817972 is 279718.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 (817979) 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 7 ways as a sum of consecutive naturals, for example, 1303 + ... + 1825.

It is an arithmetic number, because the mean of its divisors is an integer number (66024).

2⁸¹⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

817972 is a deficient number, since it is larger than the sum of its proper divisors (766604).

817972 is a wasteful number, since it uses less digits than its factorization.

817972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 565 counting only the distinct ones).

The product of its digits is 7056, while the sum is 34.

The square root of 817972 is about 904.4180449328. The cubic root of 817972 is about 93.5217904164.

The spelling of 817972 in words is "eight hundred seventeen thousand, nine hundred seventy-two".